If $\frac{d}{dx}\left(2\frac{d^2y}{dx^2}

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

If $\frac{d}{dx}\left(2\frac{d^2y}{dx^2}\right)^3=7,$ then the sum of order and degree of the differential equation is :

Options:

Correct Answer:

Explanation:

$\frac{d}{dx}\left(2\frac{d^2y}{dx^2}\right)^3=7$

$⇒2×3\left(\frac{d^2y}{dx^2}\right)^2\left(\frac{d^3y}{dx^3}\right)=7$

order = 3, degree = 1

$3 + 1 = 4$