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

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

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Show that the differential equation 2y e^(x/y)dx+(y-2x e^(x/y))dy=0 is homogeneous and find its particular solution, given that, x" "=" "0 wheny" "=" "1 .

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Solve : e^(y)dx+e^(x)dy=0 .

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Show that the differential equation (1+e^(x//y))dx+e^(x//y)(1-x/y)dy=0 is homogenous and solve it.

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
  1. An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx ...

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

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

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

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

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

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

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

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  10. Find the general solution of the differential equations:x(dx)/(dy)+y-...

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  11. xdy + (y - x ^(3)) dx =0

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  12. secx (dy)/(dx) -y = sin x

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  13. Solve the following differential equations: (2x-10 y^3)(dy)/(dx)+y=0

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  14. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

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  15. Solve the differential equation (tan^(-1)y-x)dy=(1+y^2)dx.

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  16. (ii) Find the particular solution of DE (1+y^2)dx + (1+x^2)dy=0when x=...

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

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  18. Find the particular solution of the differential equation (dy)/(dx)+y...

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  19. Solve: (1+x^2)(dy)/(dx)+2x6-4x^2=0 subject to the initial conditiony(0...

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  20. Find the general solution of the differential equation : (dx)/(dy)=(...

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