ven -t 39
(s+3) 344) 94 3
(Example 7.2.4) Use the Laplace transform to solve the initial-value problem 6. dy + 3-13 sin 2t, dt y(0)-6 Show tr...
(1 point) Consider the initial value problem d2y dy 8 +41y8 cos(2t), dt dy (0) y(0) = -2 -6 dt dt2 Write down the Laplace transform of the left-hand side of the equation given the initial conditions (sA2-8s+41)Y+2s-18 Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y. Write down the Laplace transform of the right-hand side of the equation (-8s+32)/(sA2-8s+20) Your answer should be a function of s only...
Use the Laplace transform to solve the initial value problem: y' + 4y = cos(2t), y(0) = 0, y'(0 = 1.
Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin it, y(0) = 13, y'(0) = 0 y(t) =
Use Laplace transform to solve the initial value problem [Answer: У 2tet sin(2t) + 4e* cos(2t) +3t2-21
1 point) Consider the initial value problem dy 29y--9e cos( dt dt2 dt Write down the Laplace transform of the left-hand side of the equation given the initial conditions Y(sA2-10s+29)+3s-24 Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y. Write down the Laplace transform of the right-hand side of the equation -9(s-5(S-5)A2+9) Your answer should be a function of s only. Next equate your last two answers and solve...
Solve the following Initial Value Problem: dy dt 2t + sect 2y y(0) = -5
Use the Laplace transform to solve the given initial-value problem. y'' + y = sqrt2 sin( sqrt2 (t)), y(0) = 5, y'(0) = 0 y(t) =
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y = 2e-, y(0) = 1, (O) = 3. 18. Use the Laplace transform to solve the initial value problem: 4y" – 4y + 5y = 4 sin(t) – 4 cos(1), y(0) = 0, y(0) = 11/17.
11 Solve the following Initial Value Problem: dy dt 2t + sech 2y y(0) = -5
13. Use the Laplace transform to solve the initial value problem: (&pts) y" - 6y' + 5y = 3e, y(0) = 2, 7(0) = 3