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








