Differential Equations MCQ Test: Differential Equations MCQs - Practice Questions
1. Which method is commonly used to solve second-order linear differential equations with constant coefficients?
2. For the differential equation d^2y/dx^2 + 2(dy/dx) + 5y = 0, what is the characteristic equation?
3. What is the solution to the differential equation dy/dx = -ky, where k is a positive constant?
4. If y = e^(ax) is a solution to a differential equation, what is the order of the differential equation?
5. What is the particular solution to the differential equation dy/dx = -2x + 1 with initial condition y(0) = 4?
6. Which method is commonly used to solve separable first-order differential equations?
7. Solve the differential equation d^2y/dx^2 + 9y = 0 with initial conditions y(0) = 1 and dy/dx(0) = 0.
8. What is the order of a differential equation?
9. Which method is suitable for solving first-order separable differential equations?
10. What is the solution to the differential equation dy/dx = -sin(x)?