Differential equation
1.exact (4x-2xy-y^2)dx-(x+2)^2dy=0
2.homogeneous (2x-y)dx-(x+4y)dy=0
3. linear 2y(y^2-x)dy=dx
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4. homogeneous (x-2y)dx+(2x+y)dy=0
5. determination y(y+2x-2)dx=2(x+y)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