Question

Solve following differential equations.

1. (y2-1)dy=(t2+1)dt, y(0)=0

2. 2(x-1)dx=(3y2+4y+y)dt, y(-1)=0

3. (xy-3y+x-3)dy=(xy+2y-x-2)dx, y(4)=2

4. dy=xe2ydx, y(0)=-1

5. dy=e3x+2ydx, y(0)=1

6. dy=y2(1-e3x)dx, y(0)=π

7. dy/(5y-2))=x dx, y(0)=10