. Use the Laplace transformation method to solve the initial value problem +210y 18e, v(0),(0)9
Use the method of Laplace transforms to solve the initial value problem for it dr-*+y. x(0) = 0,0) = 1
(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)
[15] 9. By using the Laplace transform method solve the initial value problem Y" + 2y + y = sint, y(0) = 0, y(0) = 0.
[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.
o use Laplace Transform method to solve Initial Value Problem y" - 8y' & 1by = t² est y (8) = 1 y(0)=4
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someone help me with this DE problem?
9. Use the Laplace transform method to solve initial value problem y"-3y' - 6 with yo) - 0, y'(0) -2
Question 5: (17 points) Use Laplace transform to solve the initial value problem V" - 4y + 4y = 2.814 -- 3)y(0) = 1, (0) = 2 (If you use convolution theorem for an inverse Laplace transform, you need to compute the integral to express your answer explicitly in terms of t.)
7.10.8 Use the method of Laplace transforms to solve the given initial value problem. Here, Dlx) and D[y] denote differentiation with respect to t x(0) = 5 D[x] +y = 0 16x + DIY] = 8 y(0) = 16 Click the icon to view information on Laplace transforms. x(t) = y(t) = (Type exact answers in terms of e.)
7.6.27 Solve the given initial value problem using the method of Laplace transforms. z"' + 6z' + 8z = e-bu(t-1); Z(0) = 2, z'(0) = -6 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms Solve the given initial value problem. z(t)=