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\\(x-\\)variable.</p>\n<p>\\(y_{n+1}=y_n+\\var{h}\\left(\\frac{\\var{a}x_n^2+\\var{b}}{\\var{c}y_n^2+\\var{d}}\\right)\\)&nbsp;</p>\n<p style=\"padding-left: 60px;\">\\(x_0=\\var{x0}\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,y_0=\\var{y0}\\)</p>\n<p>\\(y_{1}=\\var{y0}+\\var{h}\\left(\\frac{\\simplify{{a}*{x0}^2+{b}}}{\\simplify{{c}*{y0}^2+{d}}}\\right)=\\var{y1}\\)&nbsp;</p>\n<p style=\"padding-left: 60px;\">\\(x_1=\\var{x1}\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,y_1=\\var{y1}\\)</p>\n<p>\\(y_{2}=\\var{y1}+\\var{h}\\left(\\frac{\\simplify{{a}*{x1}^2+{b}}}{\\simplify{{c}*{y1}^2+{d}}}\\right)=\\var{y2}\\)&nbsp;</p>\n<p style=\"padding-left: 60px;\">\\(x_2=\\var{x2}\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,y_2=\\var{y2}\\)</p>\n<p>\\(y_{3}=\\var{y2}+\\var{h}\\left(\\frac{\\simplify{{a}*{x2}^2+{b}}}{\\simplify{{c}*{y2}^2+{d}}}\\right)=\\var{y3}\\)&nbsp;</p>\n<p style=\"padding-left: 60px;\">\\(x_3=\\var{x3}\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,y_3=\\var{y3}\\)</p>\n<p>\\(y_{4}=\\var{y3}+\\var{h}\\left(\\frac{\\simplify{{a}*{x3}^2+{b}}}{\\simplify{{c}*{y3}^2+{d}}}\\right)=\\var{y4}\\)&nbsp;</p>\n<p style=\"padding-left: 60px;\">\\(x_4=\\var{x4}\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,y_4=\\var{y4}\\)</p>\n<p>\\(y_{5}=\\var{y4}+\\var{h}\\left(\\frac{\\simplify{{a}*{x4}^2+{b}}}{\\simplify{{c}*{y4}^2+{d}}}\\right)=\\var{y5}\\)&nbsp;</p>\n<p style=\"padding-left: 60px;\">\\(x_5=\\var{x5}\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,y_5=\\var{y5}\\)</p>", "variable_groups": [], "variables": {"c": {"name": "c", "definition": "random(2..6#1)", "description": "", "templateType": "randrange", "group": "Ungrouped variables"}, "y0": {"name": "y0", "definition": "random(0..1.8#0.2)", "description": "", "templateType": "randrange", "group": "Ungrouped variables"}, "x5": {"name": "x5", "definition": "x4+h", "description": "", "templateType": "anything", "group": "Ungrouped variables"}, "y5": {"name": "y5", 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"originalfirst"}, {"allowFractions": false, "precision": "1", "showPrecisionHint": false, "marks": "0.2", "precisionPartialCredit": 0, "variableReplacements": [], "mustBeReduced": false, "precisionType": "dp", "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true, "showFeedbackIcon": true, "minValue": "x5", "strictPrecision": false, "correctAnswerStyle": "plain", "type": "numberentry", "maxValue": "x5", "precisionMessage": "You have not given your answer to the correct precision.", "scripts": {}, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst"}, {"allowFractions": false, "precision": "2", "showPrecisionHint": true, "marks": "0.5", "precisionPartialCredit": 0, "variableReplacements": [], "mustBeReduced": false, "precisionType": "dp", "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true, "showFeedbackIcon": true, "minValue": "y5", "strictPrecision": false, "correctAnswerStyle": 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