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Integrating factor of the differential e...

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

A

minus x

B

`x/(1+x^(2))`

C

`sqrt(1-x^(2))`

D

`1/2 log (1-x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The number of solutions of dy/dx = (y+1)/(x-1) when y(1) = 2 is

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

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

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

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

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  6. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

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

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  8. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is :

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  9. Find the general solution of the differential equation (dy)/(dx) = (1 ...

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  10. The integrating factor of (dy)/(dx)+y=(1+y)/x is

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  11. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

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  12. The solution of the differential equation cosx siny dx + sin x cos y d...

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

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  14. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

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  15. Family y=Ax + A^3 of curves will correspond to a differential equatio...

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  16. The general solution of dy/dx = 2xe^(x^(2)-y) is

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  17. The curve for which the slope of the tangent at any point equals the r...

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  18. The general solution of the differential equation dy/dx = e^(x^(2)/2)+...

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  19. The solution of the equation (2y-1) dx- (2x+3)dy =0 is

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  20. The differential equation for which y = a cos x + b sin x is

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