// Numbas version: exam_results_page_options
{"name": "Solusi Pers. Diferensial Homogen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Solusi Pers. Diferensial Homogen", "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": {}, "extensions": [], "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"}], "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/"}]}