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  4. The degree of differential equation (d2 y/d x2)+((d y/d x))3+6 y=0 is:

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Q. The degree of differential equation $\frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{3}+6 y=0$ is:

Jharkhand CECEJharkhand CECE 2002

Solution:

The power of highest derivative is called a degree.
Given differential equation is
$\frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{3}+6 y=0$
Here, degree is $1$ .
If the given differential equation is in the form of radicals, then first we convert the radicals into integers.