3. Solve the following differential equations by using LaPlace
transformation:
2x'' + 7x' + 3x = 0; x(0) = 3, x'(0) = 0
x' + 2x = ?(t); x(0-) = 0
where ?(t) is a unit impulse input given in the LaPlace
transform table.
2. Find the following derivative y=4x?
3. Find any maximum or minimum values of the function y(x)=1+x/e4x. Use a sign chart or a second derivative test to verify the answer(s) you get is a max or min.