JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1

\frac{d y}{d x}=\frac{y}{x}+2 \frac{d\left(\frac{y}{x}\right)}{\phi\left(\frac{y}{x}\right)}

has the solution .......

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Correct option: C

\phi\left(\frac{y}{x}\right)=k x^2

Option C (

\phi(\frac{{y}}{{x}}) = kx^2

) is correct because it is the solution obtained by substituting

u = \frac{{y}}{{x}}

and integrating the resulting separable equation.

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