Solving Differential Equation by Laplace Transform My Solutions > Solve the following initial value problems using Laplace transform and plase your solution using the indicated format: 1. (D' + 202 + D+2)y = 5 + 4sin(t) : y(0) = 3, y(0) = 1, y"(0) =2 2. (D' + 5D + 6)y = 5 + 3e3 : y(0) =5, y(0) =0 3. (D' + 6D +4)y = 6e' +42 : y(0) = 4, y(0) =2 Required: 1. Use laplace transforms 2. Find the laplace transform of the entire equation and set it implicitly (eqn1, eq2, eqn3). 3. Plugin the initial conditions and save it as L_Eq1,L_Eq2, L_Eq3 4. Find the solution to the equation (ysoln1, ysoln2, ysoln3) Script @ Save C Reset MATLAB Documentation 1 syms y (t) , t 2 Dy=diff (y) ; 3 D2y=diff (y,2) ; 4 D3y=diff(y,3); Run Script