Differential Equations

What is the order of the differential equation \( \frac{dy}{dx} = 3x^2 + 2x + 1 \)?

Which of the following is a solution to the differential equation \( \frac{dy}{dx} = 5 \)?

Find the general solution of the differential equation \( \frac{dy}{dx} = y \).

Which of the following is a first order linear differential equation?

Solve the differential equation \( \frac{dy}{dx} = 3y \).

Identify the order and degree of the differential equation \( \left( \frac{d^2y}{dx^2} \right)^3 + \left( \frac{dy}{dx} \right)^2 = 0 \).

If \( y = x^2 + C \) is the general solution of a differential equation, what is the differential equation?

Which method is used to solve the differential equation \( \frac{dy}{dx} = xy \)?

Find the particular solution of \( \frac{dy}{dx} = y \) given \( y = 2 \) when \( x = 0 \).

The differential equation \( \frac{dy}{dx} = \frac{x+y}{x} \) can be rewritten as: