Mathematics - Differential Equation Question with Solution | TestHub

MathematicsDifferential EquationVariable separableEasy2 minQB

MathematicsEasysingle choice

The equation of the curve passing through $(3, 9)$ which satisfies $d y / d x = x + 1/ x^{2}$ is

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Solution:

The given differential equation has variable separable so integrating, we have $y = x^{2} /2 - 1/ x + C$ . This will pass through $(3, 9)$ if $9 = 9/2 - 1/3 + C \Rightarrow C = 29/6$ . Hence the required equation is $6 x y = 3 x^{3} + 29 x - 6$

Stream:JEESubject:MathematicsTopic:Differential EquationSubtopic:Variable separable

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