Can you write matlab code to do the steps shown below in the math problem? The equation given below is y'' - y' - 6y = 0, then it is rewritten as L[y''] - L[y'] - 6L[y] = 0, then is converted to a subsidiary equation (this will require a for or while loop to achieve), and then rewriting the subsidiary equation into the form Y(s) = ..

Applying Laplace Transform and Liearity property for the given equation L[y]L[y]6L[y]=0 From the Transforms of the first and second derivatives of f(t) we see that the subsidiary equation is s2Ysy(0)y(0)sY+y(0)6Y=0 Step 2/5 substituting the initial value conditions y(0)=11,y(0)=28, we obtain s2Y11s28sY+116Y=0(s2s6)Y=11s+17(s3)(s+2)Y=11s+17Y=(s3)(s+2)11s+17(1)