The differential equation x(frac{d^2y}{dx^2}) | vedclass

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(A) The given differential equation is $x(\frac{d^2y}{dx^2})^3 + (\frac{dy}{dx})^4 + y = x^2$. The order of a differential equation is the order of th

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Degree $3$ and order $2$

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(A) The given differential equation is $x(\frac{d^2y}{dx^2})^3 + (\frac{dy}{dx})^4 + y = x^2$. The order of a differential equation is the order of the highest derivative present in the equation. Here,the highest derivative is $\frac{d^2y}{dx^2}$,so the order is $2$. The degree of a differential equation is the power of the highest derivative when the equation is expressed as a polynomial in derivatives. Here,the power of the highest derivative $\frac{d^2y}{dx^2}$ is $3$. Therefore,the degree is $3$ and the order is $2$.

The differential equation $x(\frac{d^2y}{dx^2})^3 + (\frac{dy}{dx})^4 + y = x^2$ is of

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