Q. For each of the differential equations, find the general solution:
1.
dydx+2y=sinx 2. dydx+3y=e−2x
3. dydx+yx=x2
4. dydx+(secx)y=tanx ...(0≤x<π2)
5. cos2xdydx+y=tanx ...(0≤x<π2)
6. xdydx+2y=x2logx
7. xlogxdydx+y=2xlogx
8. (1+x2)dy+2xydx=cotxdx ...(x≠0)
9. xdydx+y−x+xycotx=0 ...(x≠0)
10. (x+y)dxdy=1
11. ydx+(x−y2)dy=0
12. (x+3y2)dydx=y ...(y>0)