Differential Equations by Laplace transforms Solve the Initial Value problem (D² +4D+3)y=t+2: y(0) = 2, y'(0) = 1, using

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Differential Equations By Laplace Transforms Solve The Initial Value Problem D 4d 3 Y T 2 Y 0 2 Y 0 1 Using 1 (49.97 KiB) Viewed 29 times

Differential Equations by Laplace transforms Solve the Initial Value problem (D² +4D+3)y=t+2: y(0) = 2, y'(0) = 1, using laplace transforms Script 1 %Step 1: Initialize the variables: 2 syms y(t), t 3 Dy= 4 D2y= 5 cond1= 6 cond2= 7 %Step 2: Identify the LHS and RHS of the equation, find the laplace of the given functions 81 = 9 r = 10 L = 11 R = 12 %Step 3: Equate the laplace transforms of the LHS and RHS. Plugin the initial conditions: 13 eqn1 = 14 eqn1 = 15 eqn1 = 16 %Step 4: solve for Y(s) in the resulting equation 17 eqn1 = 18 %Solve the resulting equation: 19 ysoln = 20 Save C Reset My Solutions > MATLAB Documentation