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

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

A

`y=e^x(x-1)`

B

`y=xe^-xz`

C

`y=xe^-x+1`

D

y=(x+1)e^-x`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Which of the following is a second order differential equation:

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  2. Solution of differential equation x dy-y dx=0 represents

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

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  4. Solution of the differential equation tany sec^(2)xdx+tanxsec^(2)ydy=0...

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  5. Family Y=Ax+A^(3) of curves is represented by the differential equatio...

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

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  7. The solution of (dy)/(dx)-y=1 ,y(0)=1 is given by

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

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  9. Find the second order derivative of the following functions If y = a...

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  10. The order and degree of the differential equation (d^4y)/(dx^4)=y+((dy...

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

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

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

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

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  15. The solution of the differntial equations cosx sinydx+sinx cosy dy=0 i...

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

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  17. True or false: Order of the differential equation of the family of all...

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  18. The differential equation for the family of circle x ^(2) + y ^(2) - 2...

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

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

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