The order of the differential equation 2 x^{2 | vedclass

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Question

(C) The given differential equation is $2 x^{2} \frac{d^{2} y}{d x^{2}}-3 \frac{d y}{d x}+y=0$. The order of a differential equation is defined as the

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) The given differential equation is $2 x^{2} \frac{d^{2} y}{d x^{2}}-3 \frac{d y}{d x}+y=0$. The order of a differential equation is defined as the order of the highest order derivative present in the equation. In this equation,the highest order derivative is $\frac{d^{2} y}{d x^{2}}$,which is a second-order derivative. Therefore,the order of the differential equation is $2$. Hence,the correct answer is $C$.

The order of the differential equation $2 x^{2} \frac{d^{2} y}{d x^{2}}-3 \frac{d y}{d x}+y=0$ is

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