Use the Laplace transform to solve initial value problems
Use the Laplace transform to solve initial value problems 3. tx" + 2(t-1)x' - 2x =...
Use the Laplace transform to solve initial value problems 6. tx" - 2x' + tx = 0, x(0) = 0.
Use Laplace transform to solve the differential equation: tx'' + (2 - t)x' - x = 0; x(0) = 1
Use the Laplace transform to solve initial value problems 5. *" + 4x = f(x); x(t) = 35. f(t – 1) sin 27 dt, x(0) = x'(0) = 0 (use a convolution theorem).
Use the Laplace transform to solve initial value problems 4. x" + 4x' + 13x = te-t, x(0) = 0, x'(0) = 2.
??? Solve the initial value problem using the Laplace transform method x" + 2x' + x = t + 8(t – 2) x(0) = 0, x'(0) = 1
Use the Laplace transform to solve initial value problems 2. x" + 6x' + 18x sin 2t, x(0) = -1, x'0) = 1.
8. Solve the initial value problem using the Laplace transform method x" + 2x' + x = t + 8(t - 2) x(0) = 0, x'(0) = 1
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i, where f(t)-〈0 otherwise. (b) z', +x-f(t), x(0) 0, z'(0)=1, where t/2 if 0 t< 6, 3 ift26 f(t) 3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i,...
Use the Laplace transform to solve initial value problems 1. *" + 4x' + 8x = e, x(0) = x'(0) = 0.
10) 3. Solve the following initial value problems using Laplace transforms. [(a)] (a) x." - 2x + 2x = e..(0) = 0, /'(0) = 1 (b)" - r = 8(t)..(0) = (0) = 0 (20