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Solution of the differential equation (d...

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

A

`1/x+1/y=c`

B

`logx.logy=c`

C

`xy=c`

D

`x+y=c`

Text Solution

Verified by Experts

The correct Answer is:
C
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-TYPE-I:(MULTIPLE CHOICE QUESTIONS)
  1. A solution of the differential equation (d^2y)/(dx^(2))-x(dy)/(dx)+y=0...

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

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

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

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

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

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

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

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

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

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

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  12. Integrating factor of x(dy)/(dx)-y=x^(4)-3 is

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  13. Solve the following differential equations (dy)/( dx) - y = cos x, g...

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  14. The number of solutions of (dy)/(dx)=(y+1)/(x-1) when y(1)=2 is r.

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  15. Which of the following is a second order differential equation:

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  16. Integrating factor of the differential equation (1-x^(2))(dy)/(dx)-xy=...

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  17. tan^(-1)x+tan^(-1)y=c is the general solution of the differential equa...

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  18. The differential equation y(dy)/(dx)+x=c represents

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  19. The general solution of e^(x)cosydx-e^(x)sinydy=0 is

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

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