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Which of the following is a homogeneous ...

Which of the following is a homogeneous differential equation?

A

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

B

`(xy)dx-(x^(2)+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

Verified by Experts

The correct Answer is:
D
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-TYPE-I:(MULTIPLE CHOICE QUESTIONS)
  1. The general solution of the differential equation (y dx - x dy)/y = 0 ...

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

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

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  4. The degree of the differential equation (d^2y)/dx^2+[1+(dy/dx)^2]^(3/2...

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  5. The degree of the differential equation (d^(2)y)/(dx^(2))+3((dy)/(dx...

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  6. The order and degree of the differential equation [1+((dy)/(dx))^(2)]^...

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  7. The order of the differential equation of all circles of given radius ...

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  8. The solution of the differential equation 2x . (dy)/(dx)-y=3 represent...

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  9. The integrating factor of the differential equation (dy)/(dx)(x log x)...

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  10. A solution of the differential equation (d^2y)/(dx^(2))-x(dy)/(dx)+y=0...

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  11. Which of the following is not a homogenous function of x and y

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  12. Solution of the differential equation (dy)/x+y(dy)/y=0 is

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  13. Solve the differential equation : xdy/dx+2y=x^2.

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  14. The degree of the differential equation ((d^(2)y)/(dx^(2)))^(2)+(dy/dx...

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  15. The degree of the differential equation (d^2y)/dx^2+[1+(dy/dx)^2]^(3/2...

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  16. The order and degree of the differential equation (d^(2)y)/(dx^(2))+((...

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  17. Solution of differential equation x dy-y dx=0 represents

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  18. Integrating factor of the differential equation cos x (dy)/(dx)+ysinx...

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  19. Solution of the differential equation tany sec^(2)xdx+tanxsec^(2)ydy=0...

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  20. Family Y=Ax+A^(3) of curves is represented by the differential equatio...

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