In: Advanced Math
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.
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