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find the particular solution satisfying the given condition, for the following differential equation: `(x+1)(dy)/(dx)=2e^-y-1` given that `y=0` when `x=0`

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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
  1. sqrt(1+x^2+y^2+x^2y^2)+x y \ (dy)/(dx)=0

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  7. Find the particular solution of the differential equation log(dy)/(...

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  8. Show that the differential equation (dy)/(dx)=(y-x)/(y+x) is homogenou...

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  9. (x^2+x y)dy=(x^2+y^2)dx

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  10. Show that the differential equation (x^(2)+xy)dy=(x^(2)+y^(2))dx is ho...

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  11. Solve : (dy)/(dx)=(y^(3)+2x^(2)y)/(x^(3)+2xy^(2)).

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  12. An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx ...

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  13. Solve : (x cos. y/x) ( y dx + x dy) = ( y sin. y/x) (x dy- y dx).

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  14. The differential equations , find the particular solution satisfyin...

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

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  16. Solve the following differential equation: x(dy)/(dx)-y+xsin(y/x)=0

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  17. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

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  18. Solve 2y e^(x//y)dx+(y-2x e^(x//y))dy=0

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  19. (x log x ) (dy)/(dx) + y = 2 log x

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  20. Solve the differential equation : x dy/dx+3y=logx/x^3.

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