[15] 9. By using the Laplace transform method solve the initial value problem Y" + 2y...
[15] 9. By using the Laplace transform method solve the initial value problem y" - 2y + y = -2 y(0) = 0, 7(0) = 1.
[15] 9. By using the Laplace transform method solve the initial value problem -2t y" – 2y' + y = e 7 y(0) = 0, y'(0) = 1.
Solve the following initial value problem using the method of Laplace transform. y" + 2y' +10y = f(t); y(0)= 1, y'(0) = 0, where, f(0) = 10, Ost<10, 20, 10<t.
2. Solve the initial value problem using method of Laplace transforms: y" + 2y' + 2y = 3e1 satisfying y(0) 0 y'(0) =-1
1) y'' -2y'+y=xE^x, y(0)=y'(0)=0 Solve the initial value problem using the Laplace transform. y" – 2y + y = xe*, y(0) = y'(0) =
Use the Laplace transform to solve the initial value problem: y" - 3y' + 2y = 4t + ezt, y(0) = 1, y'(0) = -1
(4 points) Use the Laplace transform to solve the following initial value problem: y" – 2y + 5y = 0 y(0) = 0, y'(0) = 8 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}| find the equation you get by taking the Laplace transform of the differential equation = 01 Now solve for Y(3) By completing the square in the denominator and inverting the transform, find g(t) =
1. (5 points) Use a Laplace transform to solve the initial value problem: y' + 2y + y = 21 +3, y(0) = 1,5 (0) = 0. 2. (5 points) Use a Laplace transform to solve the initial value problem: y + y = f(t), y(0) = 1, here f(0) = 2 sin(t) if 0 Str and f(0) = 0 otherwise.
7. Solve the initial value problem below using the method of Laplace Transform method y" + 4y = 16t2 – 8t + 28, y(0) = 0, y'(0) = 10
(1) Use the Laplace transform method to solve the initial value problem x + 2y. V=x+', (0) = 0 (0) -0. (Note that once you find either (t) or y(t), the other can be computed from the syste of ODE.) ISA - X-xo) = x +2Y ST-y(0) = X te 15.- 2 1 X(5-)-2Y=0 lo -2ts(s)