Let $ y=y(x) $ be the solution curve of the differential equation $$ \frac{d y}{d x}=\frac{y}{x}\left(1+x y^{2}\left(1+\log _{e} x\right)\right), x0, y(1)=3 \text {. } $$ Then $ \frac{y^{2}(x)}{9} $ is equal to [JEE Main 2023, 25 Jan (Shift 1)]

Question

Let $ y=y(x) $ be the solution curve of the differential equation $$ \frac{d y}{d x}=\frac{y}{x}\left(1+x y^{2}\left(1+\log _{e} x\right)\right), x>0, y(1)=3 \text {. } $$ Then $ \frac{y^{2}(x)}{9} $ is equal to [JEE Main 2023, 25 Jan (Shift 1)]

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

Let \( y=y(x) \) be the solution curve of the differential equation \[ \frac{d y}{d x}=\frac{y}{x}\left(1+x y^{2}\left(1…

Practice more JEE Maths PYQs