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please write neatly Solve the initial value problem using Laplace transforms. y = 2y + 12e-4,...
2. Solve the initial value problem using method of Laplace transforms: y" + 2y' + 2y = 3e1 satisfying y(0) 0 y'(0) =-1
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.)
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.)
Using Laplace transforms, solve the initial value problem y' = 2y + 3e-t, y(0) = 4, where y' = Note: to check your work, this equation is linear so it is possible to solve using integrating factors also. 17 Marks) Y
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 initial value problem below using the method of Laplace transforms. y" + 2y-3y® 0, y(0)-2, y'(0)-6
Use Laplace transforms to solve the following initial value problem. X' + 2y' + x = 0, x'- y' + y = 0, x(0) = 0, y(0) = 400 Click the icon to view the table of Laplace transforms. The particular solution is x(t) = and y(t) = (Type an expression using t as the variable. Type an exact answer, using radicals as need
Problem 3 Solve the initial value problems using Laplace Transforms (a) y' + 8y = t2 y(0) = -1 (b) y" – 2y' – 3y = e4t y(0) = 1, y'(0) = -1
Solve the initial value problem below using the method of Laplace transforms. y'' +4y= 1662 - 12t + 16, y(0) = 0, y'(O) = 7 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) =
• 4. Solve the following initial value problem using Laplace transforms: y" – 4y' + 3y = 234, Y(0) = 0,5/(0)=1.