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  4. The order and degree of the differential equation r=([1+((d y/d x))2]3 / 2/(d2 y)d x2) are respectively

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Q. The order and degree of the differential equation $r=\frac{\left[1+\left(\frac{d y}{d x}\right)^2\right]^{3 / 2}}{\frac{d^2 y}{d x^2}}$ are respectively

Differential Equations

Solution:

$\left(\frac{d^2 y}{d x^2}\right)^2 r^2=\left[1+\left(\frac{d y}{d x}\right)\right]^3$
order : 2
degree : 2