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Which of the following is a homogeneous ...

Which of the following is a homogeneous differential equation ?

A

`(4x+6y+5)dy-(3y+2x+4)dx=0`

B

`(xy)dx-(x^(3)+y^(3))dy=0`

C

`(x^(3)+2y^(2))dx+2xydy=0`

D

`y^(2)dx+(x^(2)-xy-y^(2))dy=0`

Text Solution

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The correct Answer is:
D
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NEW JOYTHI PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9.5
  1. Show that the given differential equation is homogeneous and solve eac...

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  2. Solve the given differential equation. y'=(x+y)/(x)

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

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  4. Show that the given differential equation is homogeneous and solve eac...

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  5. Show that the given differential equation is homogeneous and solve eac...

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  6. Show that the given differential equation is homogeneous and solve eac...

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  7. Show that the given differential equation is homogeneous and solve eac...

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  8. Show that the given differential equation is homogeneous and solve eac...

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  9. Show that the given differential equation is homogeneous and solve eac...

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  10. Find the solution of the differential equation: (d^2y)/dx^2 + 4(dy)/(d...

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  11. For each of the differential equations in find the particular solution...

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  12. For each of the differential equations in find the particular solution...

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  13. For each of the differential equations in find the particular solution...

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  14. For each of the differential equations in find the particular solution...

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  15. For each of the differential equations in find the particular solution...

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  16. A homogeneous differential equation of the form (dx)/(dy)=h((x)/(y)) c...

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  17. Which of the following is a homogeneous differential equation ?

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