Solve the differential equation(x^2 + xy + 3y^2)dx - (x^2 + 2xy)dy = 0:
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(3y^2+2xy)dx-(2xy+x^2)dy=0
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)=รย
7. dy/(5y-2))=x dx, y(0)=10