Using the Laplace transform method, solve the following differential equations dy -y=1 y(0) = 0. dt...

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Using the Laplace transform method, solve the following differential equations dy -y=1 y(0) = 0. dt + 6x + x = t cos 5t ÿ +6y=t²e-at + 4 = sin² t x(0) = 0 y(0)=0 x(0) = 1 (0) = 1. y(0) = 0. (0) = 0. Using the Laplace transform method, solve the following differential equations dy -y=1 y(0) = 0. dt + 6x + x = t cos 5t ÿ +6y=t²e-at + 4 = sin² t x(0) = 0 y(0)=0 x(0) = 1 (0) = 1. y(0) = 0. (0) = 0.

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