First slide

Introduction to Differential equations

Question

Order and degree of the differential equation $\frac{d^{2}}{d x^{2}} y = {\{y + {(\frac{d y}{d x})}^{2}\}}^{1 / 4}$ are

Moderate

A

4 and 2
B

1and 2
C

1and 4
D

2 and 4

Solution

The given differential equation can be written as
${(\frac{d^{2} y}{d x^{2}})}^{4} = \{y + {(\frac{d y}{d x})}^{2}\}$
Clearly, its order and degree are 2 and 4 respectively.

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