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Solve (dy)/(dx) +2y = e^(-x)....

Solve `(dy)/(dx) +2y = e^(-x)`.

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The correct Answer is:
`y=e^(-x) +Ce^(-2x)`
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NCERT TAMIL-ORDINARY DIFFERENTIAL EQUATIONS -EXERCISE 10.9
  1. Solve (dy)/(dx) +2y = e^(-x).

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  2. The order and degree of the differential equation (d^(2)y)/(dx^(2)) +(...

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  3. The differential equation representing the family of curves y=A cos (x...

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  4. The order and degree of the differential equation sqrt(sin x)(dx+dy) =...

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  5. The order of the differential equation of all circles with centre at (...

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  6. The differential equation of the family of curves y=Ae^(x) +Be^(-x), w...

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  7. The general solution of the differential equation (dy)/(dx) =(y)/(x) i...

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  8. The solution of the differential equation 2x (dy)/(dx)-y=3 represents

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  9. The solution of (dy)/(dx) +p(x)y=0 is

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

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  11. The integrating factor of the differential equation (dy)/(dx) +P(x)y =...

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  12. The degree of the differential equation y(x)=1+(dy)/(dx) +(1)/(1.2) ((...

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  13. If p and q are the order and degree of the differential equation y(dy)...

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  14. The solution of the differential equation (dy)/(dx) +(1)/(sqrt(1-x^(2)...

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  15. The solution of the differential equation (dy)/(dx) =2xy is

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  16. The general solution of the differential equation log ((dy)/(dx))=x+y ...

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

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  18. The solution of the differential equation (dy)/(dx)=(y)/(x) +(phi ((y)...

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  19. If sin x is the integrating factor of the linear differential equation...

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  20. The number of arbitrary constantsin the generalsolutions of order n an...

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  21. The number of arbitrary constants in the particular solution of a diff...

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