The degree of the differential equation 3 d2 y-d x2-1-d y-d x23 - 2

The correct option is B 23d^2 y/dx^2={ 1+(dy/dx )^2 }^3/2 On squaring, we get 9 (d^2 y/dx^2 )^2 ={ 1+(dy/dx )^2 }^3 Obviously the highest derivative d^2 y/dx^2 ...

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Standard XII

Mathematics

Degree of a Differential Equations

The degree of...

Question

The degree of the differential equation $3 \frac{d^{2} y}{d x^{2}} = {1 + {(\frac{d y}{d x})}^{2}}^{3 / 2}$ is

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Solution

The correct option is B 2
$3 \frac{d^{2} y}{d x^{2}} = {1 + {(\frac{d y}{d x})}^{2}}^{3 / 2}$
On squaring, we get $9 {(\frac{d^{2} y}{d x^{2}})}^{2} = {1 + {(\frac{d y}{d x})}^{2}}^{3}$
Obviously the highest derivative $\frac{d^{2} y}{d x^{2}}$ contains a degree 2.

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The degree of the differential equation 3d2ydx2={1+(dydx)2}3/2 is

The correct option is B 23d2ydx2={1+(dydx)2}3/2 On squaring, we get 9(d2ydx2)2={1+(dydx)2}3 Obviously the highest derivative d2ydx2 contains a degree 2.

The degree of the differential equation $3 \frac{d^{2} y}{d x^{2}} = {1 + {(\frac{d y}{d x})}^{2}}^{3 / 2}$ is

The correct option is B 2
$3 \frac{d^{2} y}{d x^{2}} = {1 + {(\frac{d y}{d x})}^{2}}^{3 / 2}$
On squaring, we get $9 {(\frac{d^{2} y}{d x^{2}})}^{2} = {1 + {(\frac{d y}{d x})}^{2}}^{3}$
Obviously the highest derivative $\frac{d^{2} y}{d x^{2}}$ contains a degree 2.