homogeneous

Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:

Consider two Ordinary Differential Equations (ODEs): P: $\frac{dy}{dx} = \frac{x^4+3x^2y^2+2y^4}{x^3y}$ Q: $\frac{dy}{dx} = \frac{-y^2}{x^2}$ Which one of the following options is...

The solution of the differential equation $\frac{d^3y}{dx^3} - 5.5 \frac{d^2y}{dx^2} + 9.5 \frac{dy}{dx} - 5 y = 0$ is expressed as $y = C_1e^{2.5 x} + C_2e^{\alpha x} + C_3e^{\bet...