The solution of differential equation is. vody lehdj.k dk gy

JEE MainMathematicsModerateDifferential equation

The solution of differential
equation $\frac{dy}{dx} = \frac{y}{2y\left( siny^{2} + cosy^{2} \right) - x}\$ is.
vody lehdj.k dk gy
$\frac{dy}{dx} = \frac{y}{2y\left( siny^{2} + cosy^{2} \right) - x}$

Show answer and solution

\frac{dx}{dy} + \frac{x}{y} = 2\left( siny^{2} + cosy^{2} \right)

I.F.

= \ e^{\int\frac{1}{y}dy} = y

Solution if gy gksxk;fn

xy = \int 2y\left( siny^{2} + \cos^{2}y^{2} \right)dy = - cosy^{2} + siny^{2} + C

Source: Grass-G / M-21 Mathematics Paper 19 Dec Hindi Eng.docx

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