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Solve the following differential equatio...

Solve the following differential equations:
`(y+xy)dx+(x-xy^2)dy=0`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve the following differential equations: (1+x^2)(dy)/(dx)=x(1+y^2).

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  2. Solve the following differential equations: y(1-x^2)(dy)/(dx)=x(1+y^2)

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  3. Solve the following differential equations: (y+xy)dx+(x-xy^2)dy=0

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  4. Solve the following differential equations: (e^x+1)ydy=(y+1)e^xdx

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  5. Solve the following differential equations: (1-x^2)dy+xydx=xy^2dx.

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  6. Solve the following differential equations: (x-1)dy=2x^3ydx

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  7. Solve the following differential equations: xlogxdy-ydx=0

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  8. Solve the following differential equations: sin^3x(dx)/(dy)=siny

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  9. Solve sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx)=0

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  10. Solve the following differential equations: y-x(dy)/(dx)=a(y^2+(dy)/(d...

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  11. Solve the following differential equations: ydx+(1+x^2)tan^-1xdy=0

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  12. Solve the following differential equations: x^-1cos^2ydy+y^(-1)cos^2xd...

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  13. Solve the following differential equations 4e^(x) tan y dx + 3( 1 + ...

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  14. Solve the following differential equations: (1+y^2)xdx+2y(1+x^2)dy=0.

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  15. Solve the following differential equations: (dy)/(dx)-x^3=1/(xlogx).

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  16. Solve the following differential equations log "" (dy)/( dx) = ax + ...

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  17. Solve the following differential equations: logydy+x^2y dx=0.

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  18. Solve the equation sqrt(1-x^2)dy+sqrt(1-y^2)dx=0, given that when x=1,...

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  19. Solve the equation (1+x^2)(dy)/(dx)+(1+y^2)=0, given that y=1, when x=...

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  20. Solve (dy)/(dx)=e^(x-y)+x^(2)e^(-y).

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