The degree of the differential equation $\log \left(\frac{d y}{d x}\right)$ $\left(2 x+3 \frac{d y}{d x}\right)^2$ is

Question

Aicharya · Accepted Answer

$ \begin{aligned} & 	ext {} \because \log \left(\frac{d y}{d x}ight)=\left(2 x+3 \frac{d y}{d x}ight)^2 \ & \Rightarrow\left(\frac{d y}{d x}ight)-\frac{1}{2 !}\left(\frac{d y}{d x}ight)^2+\frac{1}{3 !}\left(\frac{d y}{d x}ight)^3-\ldots \ & =4 x^2+3 \ & \left(\frac{d y}{d x}ight)^2-12 x\left(\frac{d y}{d x}ight) \end{aligned} $ The order of the above differential equation is 1 and degree of the differential equation is undefined

The degree of the differential equation $\log \left(\frac{d y}{d x}\right)$ $\left(2 x+3 \frac{d y}{d…

Solution