The general solution of a differential e

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

The general solution of a differential equation is $y=ae^{bx+c}$ where a, b, c are arbitrary constants. The order the differential equation is:

Options:

None of these

Correct Answer:

Explanation:

$\frac{dy}{dx}=abe^{bx+c}⇒\frac{dy}{dx}=by⇒\frac{d^2y}{dx^2}=b.\frac{dy}{dx}⇒y\frac{d^2y}{dx^2}=(\frac{dy}{dx})^2$