If $a$ and $b$ are respectively the order and degree of a differential equation $y^2\left(y^{\prime \prime}\right)^2+3 x\left(y^{\prime}\right)^{1 / 3}+x^2 y^2=\sin x$, then

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Aicharya · Accepted Answer

$\begin{aligned} & (c) y^2 \cdot\left(y^{\prime \prime}ight)^2+3 x(y)^{1 / 3}+x^2 y^2=\sin x \ & \Rightarrow\left(y^2 \cdot\left(y^{\prime \prime}ight)^2+x^2 \cdot y^2-\sin xight)^3=27 x^3\left(y^{\prime}ight) \ & 	herefore 	ext { Order }=a=2, 	ext { Degree }=b=6 \ & 	herefore \quad b=3 a\end{aligned}$

If $a$ and $b$ are respectively the order and degree of a differential equation $y^2\left(y^{\prime…

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