Problem 3 Solve the initial value problems using Laplace Transforms (a) y' + 8y = t2...
Solve the initial value problem below using the method of Laplace transforms. y" - 2y' - 3y = 0, y(0) = -1, y' (O) = 17 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms y(t) = 1 (Type an exact answer in terms of e.)
Solve the initial value problem below using the method of Laplace transforms. y" + 2y-3y® 0, y(0)-2, y'(0)-6
Solve the initial value problem below using the method of Laplace transforms. y''+8y'+15y=594e^(6t) ,y(0)=-4,y'(0)=78
Solve the initial value problem below using the method of Laplace transforms. y'' + 4y' + 3y = 45 e 21, y(0) = -6, y'(0) = 21 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) =
2. Solve the initial value problem using method of Laplace transforms: y" + 2y' + 2y = 3e1 satisfying y(0) 0 y'(0) =-1
• 4. Solve the following initial value problem using Laplace transforms: y" – 4y' + 3y = 234, Y(0) = 0,5/(0)=1.
Solve the third-order initial value problem below using the method of Laplace transforms. y" - 2y'' - 11y' - 78y = 1200 e - 6ty(O) = 0, y'(0) = 32, y'(0) = -82 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 1 (Type an exact answer in terms of e.)
Solve the following initial value problem using the Laplace transform method: y' + 8y = -3, y(0) = -5.
In the following problems, solve the given initial value problem using the method of Laplace transforms (a) y" – 7y' + 10y = 9 cost + 7 sint, y(0) = 5, y'(0) = -4 (5 Marks] (b) y" + y = 12 + 2, y(0) = 1, y'(0) = -1 [5 Marks]
Solve the third-order initial value problem below using the method of Laplace transforms. y''! + 2y'' – 11y' – 12y = - 48, y(0) = 7, y' (O) = 4, y''(0) = 80 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t)= (Type an exact answer in terms of e.)