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  4. Find the sum of the order and degree of the differential equation y=x((d y/d x))3+(d2 y/d x2)

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Q. Find the sum of the order and degree of the differential equation $y=x\left(\frac{d y}{d x}\right)^{3}+\frac{d^{2} y}{d x^{2}}$

AP EAMCETAP EAMCET 2020

Solution:

The order and degree of the given differential equation $y=x\left(\frac{d y}{d x}\right)^{3}+\frac{d^{2} y}{d x^{2}}$ are $2$ and $1$ respectively. So, the sum of the order and degree of given differential equation is $3$.