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Solve the following differential equatio...

Solve the following differential equations
`(dy)/( dx) - y = cos x`, given that `x = 0, y =1`

A

`xy=-e^(x)`

B

`xy-e^(-x)`d

C

`xy=-1`

D

`y=e^(x)-1`

Text Solution

Verified by Experts

The correct Answer is:
D
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-TYPE-I:(MULTIPLE CHOICE QUESTIONS)
  1. Family Y=Ax+A^(3) of curves is represented by the differential equatio...

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

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

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

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

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

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

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

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

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

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

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  12. Integrating factor of the differential equation (dy)/(dx)+ytanx-secx=0...

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  13. Find the general solution of the differential equation (dy/dx) = (1+y^...

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  14. The integrating factor of the differential equation (dy)/(dx)+y=(1+y)/...

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  15. The solution of the differential equation cosxsinydx+sinxcosydy=0 is

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

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  17. Family y=Ax+A^(3) of curves will correspond to a differential equation...

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

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  19. The curve for which the slope of the tangent at any point is equal to ...

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

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