Question: 1. Using LaPlace transform method to solve the following differential equations for t=0 with indicated boundary conditions: a) y + 7y +12y = 10

1. Using LaPlace transform method to solve the following differential equations for

1. Using LaPlace transform method to solve the following differential equations for t=0 with indicated boundary conditions: a) y + 7y +12y = 10 y(0)-3, 9(0) = 0 b) y + 4y + 20y = 4 c) y + 5y +6y=0 2. For the following LaPlace transforms, find y(t) for 1-0 a) Y (s) = b) Y(s) = c) Y (s) = 5+2 3s-5 s+45+2 4(s+1) (s+2)(s+3) y(0) -2, y(0) 0 y(0)-3, y(0) = -2, (0") = 7

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