# Find the degree of the equation $$8\left (\frac{d^2 y}{dx^2}\right )^2+2(\frac{dy}{dx})^2+y=0$$.

Category: QuestionsFind the degree of the equation $$8\left (\frac{d^2 y}{dx^2}\right )^2+2(\frac{dy}{dx})^2+y=0$$.
Editor">Editor Staff asked 11 months ago

Find the degree of the equation $$8\left (\frac{d^2 y}{dx^2}\right )^2+2(\frac{dy}{dx})^2+y=0$$.

(a) 4

(b) 1

(c) 3

(d) 2

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My enquiry is from Differential Equations Basics-2 topic in chapter Differential Equations of Mathematics – Class 12
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Editor">Editor Staff answered 11 months ago

The correct choice is (d) 2

The explanation: The given differential equation is polynomial in $$\frac{d^2 y}{dx^2}$$. Hence, the degree of the given D.E will be the power raised to the highest order derivative $$\frac{d^2 y}{dx^2}$$ which is 2.