First of all we have
Now, for n=1:
Suppose that
We have to prove that
I am asked to prove the following by induction...
y=(e^x)sinx => d(^n)y/dx = [2^(n/2)] (e^x) [sin(x+npi/4)]
unfortunately I m trying to establish that this is true for n=1 and I am stuck already.
I get dy/dx = (e^x)(sinx-cosx) and not much passed that...
I have tried to square both sides and it gets me as far as...
dy/dx = [2(1/2)](e^x)[1/2 - sinxcosx]
....?