Homogeneous Differential Equations

Which of the following best describes what a differential equation is?

Which of the following are examples of differential equations?

What is the mathematical definition of a separable differential equation?

Solve the following differential equation: $$\left(x^2+5\right)\times\ \frac{dy}{dx}=\frac{2x}{y^2}$$

Which of the following is a homogeneous differential equations?

Which of the following is a homogeneous differential equation?

Which of the following is a homogeneous differential equation?

Solve $$\frac{dy}{dx}=\frac{x-y}{x}$$ given that when $$y=2$$ , $$x=1$$

Solve dy/dx = (x + 2y) / (4x) given that y(1) = 2

Solve dy/dx = (xy + y^2) / x^2

Solve dy/dx = cos^2 ( y / x ) + y / x