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A homogeneous differential equation of t...

A homogeneous differential equation of the form `(dx)/(dy) = h(x/y)` can be solved by making the substitution.

A

`y=vx`

B

`v=yx`

C

`x=vy`

D

`x=v`

Text Solution

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The correct Answer is:
C
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-TYPE-I:(MULTIPLE CHOICE QUESTIONS)
  1. The integrating factor of the differential equation x(dy)/(dx)-y=e^(-3...

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  2. The general solution of the differential equation (y dx - x dy)/y = 0 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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