// Numbas version: exam_results_page_options
{"name": "Solusi Pers Dif. Takhomogen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Solusi Pers Dif. Takhomogen", "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": {}, "extensions": [], "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": ""}]}], "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}]}]}], "contributors": [{"name": "Arini Soesatyo Putri", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4647/"}]}