The degree of the differential equation dyd x 3-d 2 ydx 22-0 is

In the given differential equation nbsp;dydx3+d2ydx22 nbsp;= 0, power of highest order derivative is 2. Therefore, the degree of the nbsp;differential e ...

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Standard XII

Mathematics

Order of a Differential Equation

The degree of...

Question

The degree of the differential equation ${(\frac{d y}{d x})}^{3} + {(\frac{d^{2} y}{d x^{2}})}^{2}$ = 0 is ___________________.

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Solution

In the given differential equation ${(\frac{d y}{d x})}^{3} + {(\frac{d^{2} y}{d x^{2}})}^{2}$ = 0, power of highest order derivative is 2.

Therefore, the degree of the differential equation = 2

Hence, the degree of the differential equation ${(\frac{d y}{d x})}^{3} + {(\frac{d^{2} y}{d x^{2}})}^{2}$ = 0 is 2.

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The degree of the differential equation dydx3+d2ydx22 = 0 is ___________________.

In the given differential equation dydx3+d2ydx22 = 0, power of highest order derivative is 2. ​Therefore, the degree of the differential equation = 2 Hence, the degree of the differential equation dydx3+d2ydx22 = 0 is 2.

The degree of the differential equation ${(\frac{d y}{d x})}^{3} + {(\frac{d^{2} y}{d x^{2}})}^{2}$ = 0 is ___________________.