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show that the given differential equatio...

show that the given differential equation is homogeneous and solve each of them `(x^2+xy)dy=(x^2+y^2)dx`

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The correct Answer is:
`(x-y)^(2)= c x e^(-y//x)`.
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (h) Long Answer Type Questions (I)
  1. Show that each of the following differential equations is homogeneous...

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  2. Show that each of the following differential equations is homogeneous...

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  3. show that the given differential equation is homogeneous and solve eac...

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  4. Show that each of the following differential equations is homogeneous...

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  5. Show that each of the following differential equations is homogeneous...

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  6. Show that each of the following differential equations is homogeneous...

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  7. Show that each of the following differential equations is homogeneous...

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  8. Show that each of the following differential equations is homogeneous...

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  9. Show that each of the following differential equations is homogeneous...

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  10. Show that each of the following differential equations is homogeneous...

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  11. Show that each of the following differential equations is homogeneous...

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  12. Solve : (x^3+y^3)dy-x^2y\ dx=0

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  13. Solution of the differential equation x^(2)y dx-(x^(3)+y^(3))dy=0 is

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  14. Show that each of the following differential equations is homogeneous...

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  15. (xcosy/x)(dy)/(dx)=(ycosy/x)+x

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  16. Solve the differential equation y e^(x/y)dx=(x e^(x/y)+y^2)dy(y!=0)

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  17. Find the particular solutions of the following problems : x^(2)dy-(x...

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

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  19. Solve each of the following initial value problem: 2x^2(dy)/(dx)-2x y+...

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  20. Find the particular solution of the differential equation x(dy)/(dx)=y...

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