i need answer for question 1,3 and 6 only Sketch the graph; find the analytical

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i need answer for question 1,3 and 6 only

Sketch the graph; find the analytical expression, f(t); and the Laplace transform, f(s), of the function described by: Find the solution to the following nonhomogeneous problem and plot the result dy/dt 8y + 17 y(0) = -4 Using the vector-matrix approach, find the complete solution for z(t) where z = and z' = Az given dx/dt = y, x(0) = 1 dy/dt = -6x - 5y, y(0) = 2 Remember that for each eigenvalue lambda I, there is an eigenvector zi given by lambda I zi = Azi. Find the solution to the following nonhomogeneous problem by assuming y = yh + yp. d2y/dt2 + 5dy/dt + 4y = 2e-2t y(0) = 0, y'(0) = 0 Use Laplace transforms to solve the following equation; d2y/dt2 + 2dy/dt - 8y = 4u - 4u(t - 2) y(0) = 0, y'(0) = 0 Solve the following for x,y and z. Show all steps. No credit will be given for answers without all of the steps. X + 2y + z = 2 Solve dy/st - 4t = 1 y(0) = 5 Using power series by: y(t) = a0 + a1t + a2t2 + a3t3 + a4t4 + The one dimensional wave equation is given by

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could you please turn the image and repost the question?? i would love to help you :)

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