First slide

Introduction to Differential equations

Question

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

Moderate

A

2
B

3
C

1 / 2
D

6

Solution

The given differential equation can be written as
${(\frac{d^{2} y}{d x^{2}})}^{6} = 1 + \frac{d y}{d x}$
Clearly, its order is 2 and degree is 6.

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