The order and degree of d2ydx2 1-3-10-9xdydx is-

The correct option is C 2,1 (y_2)^1/3=10 + 9xy_1 ⇒ y_2=(10+9xy_1)^3 ⇒ order=2 degree =1 ...

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Degree of a Differential Equations

The order and...

Question

The order and degree of ${(\frac{d^{2} y}{d x^{2}})}^{1 / 3} = 10 + 9 x \frac{d y}{d x}$ is:

2,3

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2,1

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1,3

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1,1

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x^{\frac{1}{2}} {(\frac{d^{2} y}{d x^{2}})}^{\frac{1}{3}} + x \cdot \frac{d y}{d x} + y = 0

\frac{d^{2} y}{d x^{2}} = {y + {(\frac{d y}{d x})}^{2}}^{1 / 4}

Order and degree of differential equation are

[MP PET 1996]

{(1 + {(\frac{d y}{d x})}^{2})}^{3 / 4} = {(\frac{d^{2} y}{{d x}^{2}})}^{1 / 3}

\sqrt[3]{\frac{d^{2} y}{d x^{2}}} = \sqrt{\frac{d y}{d x}}

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