Differential Equations Answers

Find the Laplace transforms of the following function:

7. L{t^2 -3cos4t}

Find the Laplace transforms of the following function:

6. L{2cos3t + 5sin3t}

Find the Laplace transforms of the following function:

5. L{t^4}

Find the Laplace transforms of the following function:

4. L{e^5t}

Find the Laplace transforms of the following function:

3. L{e^-5t + t^2}

Find the Laplace transforms of the following function:

2. L{e^5t}

Find the Laplace transforms of the following function:

1. L{t^2sinkt}

a chip is placed at room temperature of 40°c after minutes its temperature changes from 80c to 60c the proportionallity constant in case is k=0.05 ln2 find temperture of chip after 40 minute.

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

y′ + 2y = sin 4t, y(0) = 1

Solve x² dy/dx = y² - xy. given that y = 1 when x = 1