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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^(x)`

C

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

D

`y=xe^(-x)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-TYPE-I:(MULTIPLE CHOICE QUESTIONS)
  1. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is

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

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

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

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

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

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

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

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

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

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

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

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  13. The order and degree of the differential equation ((d^(3)y)/(dx^(3)))^...

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  14. The order and degree of the differential equation [1+((dy)/(dx))^(2)]^...

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  15. Which of the following is the general solution of (d^(2)y)/(dx^(2))-2(...

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  16. General solution of (dy)/(dx)+ytanx=secx is

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  17. Solution of the differential equation (dy)/(dx)+y/x=sinx is

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  18. The general solution of the differential equation (e^(x)+1)y dy=(y+1)e...

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  19. The solution of the differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y...

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  20. The solution of the differential equation (dy)/(dx)+(2xy)/(1+x^(2))=1/...

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