solve using the Convolution Theorem
1. Solve the ODE/TVP: y" +2y'+y=5(1-2),y(0)-0.7(0) =0. Use the Convolution Theorem everywhere possible, in parts (b) and (c). (a) Find Y(s), the Laplace Transform of y(t), (b) Express y(t) in terms of the convolution product ONLY with explicit functions of t, e.g., f(t)-g(t) or f(t) g(t) * h(t), but do not evaluate any of the convolution product(s); (c) Obtain y(t) by working out completely the convolution product(s) in part (b), show all your intermediate work and results, and simplify your...
18-25 SOLVING INITIAL VALUE PROBLEMS Using the convolution theorem, solve: 19. y" + 4y = sin 3t. (0) = 0, y'(0) = 0
use the convolution theorem to solve the I.V.P. ا = (هر را = (0) - (a) = ) = (ه) و = (الا ( 3 / 2 2 و و 2 گیا - ۔ 41e) = 4(e) = 0 24+y = fext @ 4
Apply convolution theorem solve the following problem and then show that laplace transform equals F(s) 1 of F(s)= (s +3)(s - 7)
please show all work ising convolution. integral is from 0 to t Use convolution theorem and solve y'-st 0 sin(t - 2)y()dA = cost, y(0) = 1. *integral is from zero to to t I
5. Find the inverse laplace of the given laplace equations using convolution theorem b. a. زرا ) s? (s? +9) (s +1)(s? +1)
By using convolution theorem, not laplace. !!!!!!! Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): (i) x(t)=u(t), h(t)=u(t): (iii) x(1) 11(1) _ 211(-1) + 11( -2), h(1) 11( 1) _ 11(-1);
Use the convolution theorem to find the inverse Laplace transform of the given function. 2 s(s? +1) 2 3 (s2 +1)
P. 248 Given: L (5² S² 2 Criven: L'{ 52, Convolution theorem
(1 point) Use the convolution theorem to determine the inverse of f(s), where a is a positive constant. f(s) = 8(82 + a2)2 c'[f(s)](t) =