Differential Equations Answers

(x^3+y^3)=(3xy^2)dy/dx

Use the Laplace transform to solve the given initial-value problem.

y′ + 2y = sin 4t, y(0) = 1

Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by

5. 1/(s+1)(s+2)(s^2+2s+10)

Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by

4. s+7/s^2+2s+5

Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by

3. s-1/s^2 (s+3)

Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by

1. s+5/(s+1)(s-3)

Inverse Laplace Transforms

Find L^-1 {F(s)} when F(s) is given by

1. 1/(s+3)(s+7)

Find the Laplace transforms of the following function:

10. L{e^-t}

Find the Laplace transforms of the following function:

9. L{7t^3 - 2sin3t}

Find the Laplace transforms of the following function:

8. L{t^2 e^-2t + e^-t cos2t + 3}