// Numbas version: exam_results_page_options
{"name": "Kuis Persamaan Diferensial Orde Dua", "metadata": {"description": "", "licence": "None specified"}, "duration": 3000, "percentPass": "75", "showQuestionGroupNames": true, "showstudentname": true, "question_groups": [{"name": "Kuis PD Orde 2", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Pers. Diferensial Homogen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Solusi dari persamaan diferensial homogen $y^{\"}+y^{'}-20y=0$ adalah?</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$y=C_{1}e^{5x}+C_{2}e^{-4x}$", "$y=C_{1}e^{-5x}+C_{2}e^{-4x}$", "$y=C_{1}e^{-5x}+C_{2}e^{4x}$", "$y=C_{1}e^{5x}+C_{2}e^{4x}$"], "matrix": [0, 0, "1", 0], "distractors": ["Yaah, jawabannya masih salah. Semangat!", "Yaah, jawabannya masih salah. Semangat!", "Yeay, kamu benar!", "Yaah, jawabannya masih salah. Semangat!"]}]}, {"name": "Solusi Partikular", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Dalam menentukan solusi partikular dari persamaan diferensial</p>\n<p>$y^{\"}+6y^{'}+9y=2e^{-3x}$</p>\n<p>dengan menggunakan koefisien taktentu, maka pemisalan yang digunakan adalah?</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$y_{p}=Ae^{-3x}$", "$y_{p}=Axe^{-3x}$", "$y_{p}=Ax^{2}e^{-3x}$", "$y_{p}=Ax^{3}e^{-3x}$"], "matrix": [0, 0, "1", 0], "distractors": ["Yaah, jawabannya masih salah. Semangat!", "Yaah, jawabannya masih salah. Semangat!", "Horee, kamu benar lagi!", "Yaah, jawabannya masih salah. Semangat!"]}]}, {"name": "Solusi Partikular 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Solusi partikular dari persamaan diferensial</p>\n<p>$y^{\"}-2y^{'}+10y=13sin(3x)-4cos(3x)$</p>\n<p>adalah?</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$y_{p}=cos{3x}+2sin(3x)$", "$y_{p}=2cos{3x}+sin(3x)$", "$y_{p}=39cos{3x}+12sin(3x)$", "$y_{p}=cos{3x}+sin(3x)$"], "matrix": [0, "1", 0, 0], "distractors": ["Jawabannya masih salah. Ayo, kamu pasti bisa!", "Wow, kamu hebat!", "Jawabannya masih salah. Ayo, kamu pasti bisa!", "Jawabannya masih salah. Ayo, kamu pasti bisa!"]}]}, {"name": "Solusi Persamaan Diferensial", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Solusi dari persamaan diferensial</p>\n<p>$y^{\"}+4y=8sec^{3}(2x)$</p>\n<p>dengan $y(0)=2$ dan $y'(0)=4$</p>\n<p>adalah</p>\n<p>Ket:</p>\n<p>tulis ekspresi fungsinya saja (dalam x)</p>\n<p>perkalian gunakan * (contoh x*sin(x))</p>\n<p>pangkat dan sinus gunakan tanda kurung (contoh e^(-x), sin(x))</p>\n<p>invers trigonometri gunakan arcsin(x), arccos(x), arctan(x)</p>", "advice": "<p>$y=cos(2x)+2sin(2x)+\\frac{1}{cos(2x)}</p>", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "cos(2x)+2*sin(2x)+1/cos(2x)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}]}, {"name": "Solusi Pers. Diferensial Homogen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Diberikan persamaan diferensial homogen</p>\n<p>$4y^{\"}+4y^{'}+1=0$</p>\n<p>dengan $y(0)=2$ dan $y(1)=e^{-1/2}$.</p>", "advice": "<p>a) $y=2e^(-1/2x)-xe^(-1/2x)$</p>\n<p>b) 2</p>", "rulesets": {}, "variables": {"": {"name": "", "group": "Unnamed group", "definition": "", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "Unnamed group", "variables": [""]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Cari solusi $y(x)$</p>\n<p>tulis ekspresi fungsinya saja</p>\n<p>perkalian gunakan * (contoh x*sin(x))</p>\n<p>pangkat dan trigonometri gunakan tanda kurung (contoh e^(-x), sin(x))</p>\n<p>invers trigonometri gunakan arcsin(x), arccos(x), arctan(x)</p>\n<p>$y = $</p>", "answer": "2e^(-x/2)-x*e^(-x/2)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Nilai dari $\\lim\\limits_{x \\rightarrow \\infty} y(x)$ adalah...</p>", "minValue": "2", "maxValue": "2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}]}, {"name": "Solusi Pers Dif. Takhomogen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Diberikan persamaan diferensial</p>\n<p>$y^{\"}+2y^{'}+1=\\frac{e^{-x}}{1+x^2}$</p>\n<p>(a) Salah satu dari dua solusi yang saling bebas adalah $u_1 = e^{-x}$. Yang lainnya adalah $u_2 = ...$</p>\n<p>(b) Misalkan $y_{p}=v_{1}(x)u_{1}(x)+v_{2}(x)u_{2}(x)$. Maka $v_{1}(x)$ dan $v_{2}(x)$ adalah</p>\n<p>Ket:</p>\n<p>Jawaban langsung ekspresi fungsinya</p>\n<p>Jawablah secara berturut-turut diisi pada kotak di bawah ini:</p>\n<p>perkalian gunakan * (contoh x*sin(x))</p>\n<p>pangkat dan trigonometri gunakan tanda kurung (contoh e^(-x), sin(x))</p>\n<p>invers trigonometri gunakan arcsin(x), arccos(x), arctan(x)</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>$u_{1}&nbsp;= $</p>\n<p></p>", "answer": "x*e^(-x)", "showPreview": false, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>$v_1$ =</p>", "answer": "-(1/2)*ln(1+x^2)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>$v_2$ =</p>", "answer": "arctan(x)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}]}]}], "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": false, "timeout": {"action": "warn", "message": "<p>Waktu sudah habis!</p>"}, "timedwarning": {"action": "warn", "message": "<p>Waktu tinggal 5 menit lagi, semangat!</p>"}}, "feedback": {"showactualmark": false, "showtotalmark": true, "showanswerstate": false, "allowrevealanswer": false, "advicethreshold": 0, "intro": "<p>Kuis Bab Persamaan Diferensial Orde Dua. Selamat Mengerjakan. Good Luck!</p>", "feedbackmessages": []}, "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}], "extensions": [], "custom_part_types": [], "resources": []}