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:
Answer & explanation
Correct answer: option 2
$\frac{dy}{dx}=abe^{bx+c}⇒\frac{dy}{dx}=by⇒\frac{d^2y}{dx^2}=b.\frac{dy}{dx}⇒y\frac{d^2y}{dx^2}=(\frac{dy}{dx})^2$