Question

In: Advanced Math

y'' + 16y = (8)(cos(4t)) y0)= 0 y'(0)= 8 Use Laplace Transforms to solve. Sketch the...

y'' + 16y = (8)(cos(4t)) y0)= 0 y'(0)= 8

Use Laplace Transforms to solve. Sketch the solution or use matlab to show the graph.

Solutions

Expert Solution

take Laplace

here we have y(0)=0 and y'(0)=8

take inverse Laplace

apply Laplace rule

apply Laplace rule   

so here we have


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