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Solution of the differential equation (d...

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

A

1/x+1/y =c

B

log x. log y = c

C

xy = c

D

x + y = c

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The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Which of the following functions is a solution of the differential equ...

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

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

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  4. Find the general solution of the differential equation x(dy)/(dx)+ 2y=...

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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 equation [1+(dy/dx)^(2)]^(3/2) = ((d^(2)y)/dx^(2)) i...

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

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  8. If y=e^(-x)(Acosx+Bsinx), then y satisfies :

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  9. The differential equation for y = A cos alpha x + B sin alpha x Where ...

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  10. Solution of the differential equation xdy-ydx =0 represents

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  11. Integrating factor of the differential equation cos x dy/dx + y sin x ...

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  12. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

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  13. The family y=ax+a^3 of curves is represented by the differential equat...

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

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  15. Solution of dy/dx-y =1, y(0) =1 is given by

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

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  17. Which of the following is a second order differential equation?

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

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

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

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