Order and degree of a differential equation (d^2 y)/(d x^2)= \y+ ((d y)/(d x) )^2 \^1 / 4 are

Correct answer: (D) 2 and 4. The given differential equation can be written as ((d^2 y)/(d x^2) )^4= \y+ ((d y)/(d x) )^2 \ Clearly, its order and degree are 2 and 4 respectively.

Q115 / 170 · Manipal (MET) 2015 · Mathematics

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

A
4 and 2
B
1 and 2
C
1 and 4
Correct answer
D
2 and 4

Solution

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

Hence, the correct answer is option: 'D'.

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

Solution

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