I would just like a few of my answers to be checked, if anyone wants to,
I got ln(1-e(y))+x=c, but i think this is wrong(it doesn't match the given answer)
My working was:
int (1-e(y))/e(y) dy -int 1 dx=0
I got sinysinx=c
3) Find the general solution of:
I got: Ae(4x)+Be(x)-e(3x)
i) find Yc:
I got Yc=Acos(2t)+Bsin(2t)
ii) find the full general solution:
I got y=Acos(2t)+Bsin(2t)+3tsin(2t)
iii) given y'(0)=0 and y(0)=0 find the full solution
I got y=3tsin(2t)
5) evaluate int e(2x)sinx dx via trap rule, simpsons 1/3rd and gauss integration. With 4 strips for trapezoidal/simpsons.
Any answer checks would be greatly appreciated, especially for the first question.