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Show that the differential equation (x^(...

Show that the differential equation `(x^(2)+xy)dy=(x^(2)+y^(2))dx` is homogenous and solve it.

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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
  1. Show that the differential equation (dy)/(dx)=(y-x)/(y+x) is homogenou...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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