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Solve the differential equation x^2dy+(x...

Solve the differential equation `x^2dy+(x y+y^2)dx=0` given `y=1,` when `x=1`

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`x^2dy+(yx+y^2)dx=0`
`dy/dx+y/x+(y/x)^2=0`
`v+xdv/dx+v+v^2=0`
`(xdy)/dx=-(v^2+2v)`
...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve each of the following initial value problems: (x^2-2y^2)dx+2x...

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  2. Solve each of the following initial value problems: (x e^(y//x)+y)d...

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  3. Solve the differential equation x^2dy+(x y+y^2)dx=0 given y=1, when x=...

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  4. Solve the following differential equation: (x^2-y^2)dx-2\ x y\ dy=0

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  5. Solve the following differential equation: 2x y(dy)/(dx)=x^2-y^2

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  6. Solve the following differential equation: x^2(dy)/(dx)=x^2+x y+y^2

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  7. Solve the following differential equation: (dy)/(dx)=x/(2y+x)

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  8. Solve the following differential equation:(dy)/(dx)=y/x+sin(y/x)

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  9. Solve the following differential equation: x ylog(x/y)dx+{y^2-x^2log(x...

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  10. Solve the following differential equation: (1+e^(x//y))dx+e^(x//y)(1-x...

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  11. Solve the following differential equation: (x^2-2x y)\ dy+(x^2-3xy+2y^...

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  12. Solve the following differential equation: x(dy)/(dx)=y-xcos^2(y/x)

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  13. Solve the following differential equation: \ x(dy)/(dx)-y=2\ sqrt(y^2-...

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  14. Solve the following differential equation: xcos(y/x)(y dx+x dy)=ysin(y...

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  15. Solve the following differential equation: (x-y)(dy)/(dx)=x+2y

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  16. Solve the following differential equation (dy)/(dx) = (x + y - 1)/(x-...

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

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  18. Solve the following differential equation: \ (y^2-2x y)dx=(x^2-2x y)dy

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  19. Solve the following differential equation: 3x^2dy=(3x y+y^2)dx

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  20. Solve the differential equation - (x-2y)dx+(2x+y)dy=0

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