The order and degree of differential equation ( d 3 y d x 3 ) 2 - 3 d 2 y d x 2 + 2 ( d y d x ) 4 = y 4 are:

Question

The order and degree of differential equation ${(\frac{d^{3} y}{d x^{3}})}^{2} - 3 \frac{d^{2} y}{d x^{2}} + 2 {(\frac{d y}{d x})}^{4} = y^{4}$ are:

Smart Achievers · Accepted Answer

(4)

Ans. 3, 2

Explanation:

Given that,

${(\frac{d^{3} y}{d x^{3}})}^{2} - 3 \frac{d^{2} y}{d x^{2}} + 2 {(\frac{d y}{d x})}^{4} = y^{4}$

$∴$ Order = 3

and Degree = 2

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