# Sheet1 Control 1. Solve the following differential equations using Laplace transforms. Assume zero initial conditions dx... Sheet1 Control 1. Solve the following differential equations using Laplace transforms. Assume zero initial conditions dx + 7x = 5 cos 21 di b. + 6 + 8x = 5 sin 31 dt + 25x = 10u(1) 2. Solve the following differential equations using Laplace transforms and the given initial conditions: de *(0) = 2 () = -3 dx +2+2x = sin21 di dx di dx di 7+2 x(0) = 2:0) = 1 ed + 4x x(0) = 1:0) = 2 3. A system is described by the following differential equation: x +4 +6 dr + & Find the expression for the transfer function of the system, Y(s)/X(s). 2 of 1Pag

Here is the solution....  As per the guidelines I have allowed to do only one question as you have not mentioned so I did the first one..... I hope you understand it...

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