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Solution of dy/dx = (x+Y)/(x-y) is...

Solution of dy/dx = (x+Y)/(x-y) is

A

`(tan^(-1)) x/y - 1/2 log (x^(2)+y^(2)) = c`

B

`(tan^(-1)) y/x - 1og (x^(2)+y^(2)) = c`

C

`(tan^(-1)) y/x - 1/2 log (x^(2)+y^(2)) = c`

D

`(tan^(-1)) y/x - 1/2 log (x^(2)+y^(2)) + c`

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. Solution of dy/dx = y/(x+y) is

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  3. Solution of dy/dx = (x+Y)/(x-y) is

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  4. A population grows at the rate of 5% per year. How long does it take f...

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  5. In a bank, principle p increases continuously at the rate of 5% per ye...

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  6. The rate of increase of bacteria in a culture proportional to the numb...

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

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  8. The order of the differential equation 2x^(2) (d^(2)y)/dx^(2) - 3 dy/d...

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  9. The number of arbitary constants in the general solution of a differe...

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  10. The number of arbitary constants in the particular solution of a diff...

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  11. Which of the following differential equations has y=x as one of its pa...

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  12. Which of the following differential equations has y = c(1)e^(x) + c(2)...

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  13. The general solution of the differential equation dy/dx = e^(x+y) is

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  14. A homogeneous differential equation of the from (dx)/(dy) = h((x)/(y))...

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

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  16. The integrating factor of the differential equation x dy/dx-y= 2x^(2) ...

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  17. The Integrating Factor of the differential equation (1 - y^(2))(dx)/(d...

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  18. The general solution of the differential equation (ydx-xdy)/y =0 is

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  19. The general solution of a differential equation of the type dx/dy + P(...

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  20. The general solution of the differential equation e^(x)dy + (ye^(x)+2x...

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