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Solve the differential equations: x^2y'=...

Solve the differential equations:
`x^2y'=x^2+xy+y^2`

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

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  2. Solve the differential equations: (x-y)((dy)/(dx))=x+3y

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  3. Solve the differential equations: x^2y'=x^2+xy+y^2

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  4. Solve the differential equations: 2xyy'=x^2+y^2

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

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  6. Solve : (3xy+y^2)dx+(x^2+xy)dy=0.

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

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  8. Solve the differential equation : (x^2 - y^2) dx + 2xy dy = 0.

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  9. Solve the differential equations: x^2ydx-(x^3+y^3)dy=0

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  10. Solve the differential equations: y^2+x^2(dy)/(dx)=xy(dy)/(dx)

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  11. Solve the differential equation: x(dy)/(dx)+y=x^3

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  12. Solve the differential equations: x^2dy+(xy+y^2)dx=0, y(1)=1

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  13. Solve the differential equations: (x^2-y^2)dx+2xydy=0, y(1)=1

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

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  15. Solve the differential equations: x^2(dy)/(dx)=y^2+2xy,y(1)=1

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  16. Solve the differential equations: (dy)/(dx)=(x^2+y^2)/(xy+x^2)

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  17. Solve the differential equations: (dy)/(dx)=(x-y)/(x+y)

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  18. Solve the differential equations: xy(dy)/(dx)=x^2-y^2

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

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  20. Solve the differential equations: x(dy)/(dx)=ytany/x, x>0

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