The order and degree of differential equation $\left( \frac{d^3y}{dx^3} \right)^2 - 3 \frac{d^2y}{dx^2} + 2 \left( \frac{dy}{dx} \right)^4 = y^4$ are
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 3, 2 ##
Given that, $\left( \frac{d^3y}{dx^3} \right)^2 - 3 \frac{d^2y}{dx^2} + 2 \left( \frac{dy}{dx} \right)^4 = y^4$
$∴\text{Order} = 3 \text{ and degree} = 2$
Highest order derivative is $\frac{d^3y}{dx^3}$ so order is 3 and power on this is 2 so degree is 2.