y" – 7y" + 25y' – 175y = sec 5t, y(0) = 2, y'(0) = -2, y"(0) = 61. A fundamental set of solutions of the homogeneous equation is given by the functions: Y1(t) = eat, where a = %3D Y2(t): Y3(t) : A...

Extracted text: y" – 7y" + 25y' – 175y = sec 5t, y(0) = 2, y'(0) = -2, y"(0) = 61. A fundamental set of solutions of the homogeneous equation is given by the functions: Y1(t) = eat, where a = %3D Y2(t): Y3(t) : A particular solution is given by: Y (t) = ds · yı(t) to · Y2(t) Therefore the solution of the initial-value problem is: y(t) |+Y(t) +