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

Show that the differential equation `((x-y)dy)/(dx)=x+2y ,` is homogeneous and solve it.

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The correct Answer is:
`- 1/2 log |x^(2)+xy+y^(2)|+sqrt(3)tan^(-1). (x+2y)/(sqrt(3)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. Show that the differential equation ((x-y)dy)/(dx)=x+2y , is homoge...

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

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  4. (x-y)dy-(x+y)dx=0

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

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

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

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

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

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

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

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

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