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Degree of a Differential Equations

The order and...

Question

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

A

1,2

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B

2,4

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C

2,2

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D

2,3

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Solution

The correct option is D 2,4
$(1 + y_{1}^{2})^{3 / 2} = y_{2}^{2}$
$(1 + y_{1}^{2})^{3} = y_{2}^{4}$
order=2 degree=4

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