Which of the following is a second order differential equation? |
$(y')^2 + x = y^2$ $y' y'' + y = \sin x$ $y''' + (y'')^2 + y = 0$ $y' = y^2$ |
$y' y'' + y = \sin x$ |
The correct answer is Option (2) → $y' y'' + y = \sin x$ ## The second order differential equation is $y' y'' + y = \sin x$. $\Rightarrow \left( \frac{dy}{dx} \right) \left( \frac{d^2y}{dx^2} \right) + y = \sin x$ |