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If (dy)/(dx)= (x-y)/(x+y) then its solut...

If `(dy)/(dx)= (x-y)/(x+y)` then its solution is :

A

`2xy+y^(2)+x^(2)=c`

B

`x^(2)+y^(2)-x+y=c`

C

`x^(2)+y^(2)-2xy=c`

D

`x^(2)-y^(2)-2xy=c`

Text Solution

Verified by Experts

The correct Answer is:
D
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PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. The order and degree of the differential equation (d^(2)y)/(dx^(2))- y...

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  2. The differential equation of the family of lines y = mx is :

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  3. If (dy)/(dx)= (x-y)/(x+y) then its solution is :

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  4. The integrating factor for (dy)/(dx) - 2y tan x = cos x is :

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  5. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

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  6. Which of the following is a solution of (d^(2)y)/(dx^(2))+ y = 0 :

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  7. The differential equation formed by eliminating A and B for the relat...

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  8. If xy=a^(2) where a is arbitrary constant then :

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  9. The order and degree of the differential equation y'' (y - (y')^(3))...

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  10. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

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  11. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

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  12. The solution of the equation (dx)/(dy) + Px = Q where P and Q are func...

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  13. The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y +...

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  14. If y^(2) = 4ax where a is constant then the differential equation for...

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  15. The differential equation formed if y = (A - Bx ) e^(-2x) is :

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  16. The differential equation that will represent the family of all circle...

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  17. Solve (x^(2)-y) dx+(y^(2)-x)dy=0 , if it passes through origin :

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  18. The differential equation representing the family of curve y = A sin ...

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  19. The order and degree of the differential equation sin^(3)x (dx + dy)...

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  20. The general solution of (dy)/(dx) + y/x = 0 is :

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