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Show that the differential equation (dy)...

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

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The correct Answer is:
`log(x^(2)+y^(2))+2 tan^(-1)(y/x)=c`.
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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. (x-y)dy-(x+y)dx=0

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

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

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

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

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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 the given differential equation is homogeneous and solve eac...

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

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

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

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

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

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

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

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

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

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