2) use the Laplace Transform method to save the IUP y" - Byltley t²2 treut y...
7. Use the method of Laplace transform to solve ty" +2(2t - 1)y' +4(t – 1)y = 0 with y(0) = a y'(0) = b
QUESTION 1 The Laplace Transform y"-16y=16u(t) Use the Laplace Transform to solve y(O)=0 (y'(0)=0.
o use Laplace Transform method to solve Initial Value Problem y" - 8y' & 1by = t² est y (8) = 1 y(0)=4
Question 4 Use the method of Laplace transform to find the solution of the initial value problem Zy" + y' + 4-2 δ(t-r/6) sint, y'(0)-0. y(0)-0, Solution:
Question 4 Use the method of Laplace transform to find the solution of the initial value problem Zy" + y' + 4-2 δ(t-r/6) sint, y'(0)-0. y(0)-0, Solution:
2. a) Use the Laplace transform method to solve: y" + y' + 1.25 y = t - UT y(0) = 0, y'(0) = 0. b) Draw a careful graph of the forcing function in this mass-spring-damper problem. c) Using a computer or calculator construct a careful graph of the function.
laplace transform
Question Completion Status: QUESTION 31 Use the method of Laplace transform to solve the initial value problem V"-V-2y = -8cost - 2sint; vec ) = 1, v"()=0. 66. - sin tezcost top--e =1-1/2) - cost + sine optere-4--1/2) - cost osin t + 1-1/2 -_-627-w) - costosinte-e-4-1/2) wsinto cost-11-12 - - Chick Save All Answers to save all answers. Save and submit
If Laplace transform method is used to solve the IVP: y"(t) - 4 y'(t) + 4y(t) = 4 cos2t, yO)= 2; y'(O)=5 then the solution is: Select one: y(t) = e2t + sin2t - cos2t y(t)=2e2t + 2te2t_ 1 sin2t y(t) = 2te + cos2t - sin2t
10. Use the Laplace transform to solve y" - 3y' +2y f(t), y(0)-0,'(0) 0, where (t)-(0 for 0 st < 4; for t 2 4 No credit will be given for any other method. (10 marks)
7.(9pts) Solve the initial value problem by the method of Laplace transform: y"+ y = u(t - 3), y(O) = 0, y'(0) = 1.
Use Inverse Laplace Transform method and another method to find
the partial solution of
s y (4)(x) + y(2)(x) = sinx | ly3 (0) = y2)(0) = y(1)(0) = y(0) = 0