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Which of the following differential equa...

Which of the following differential equations has `y=c_1e^x+c_2e^-x` as the general solution ?

A

`(d^2y)/(dx^2)+y=0`

B

`(d^2y)/(dx^2)-y=0`

C

`(d^2y)/(dx^2)+1=0`

D

`(d^2y)/(dx^2)-1=0`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
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  4. Which of the following differential equations has y=x as one of its pa...

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  5. For the differential equation, find the general solution: (dy)/dx = (1...

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  6. For the differential equation, find the general solution: (dy)/dx = sq...

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  7. For the differential equation, find the general solution: (dy)/dx + y ...

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  8. For the differential equation, find the general solution: sec^2x tany ...

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  9. For the differential equation, find the general solution:(e^x + e^(-x)...

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  10. For the differential equation, find the general solution: (dy)/(dx) = ...

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  11. For the differential equation, find the general solution: y logy dx - ...

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  12. For the differential equation, find the general solution: x^5 (dy)/(dx...

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  13. For the differential equation, find the general solution: (dy)/(dx) = ...

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  14. For the differential equation, find the general solution:e^x tany dx +...

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  15. For the differential equation, find a particular solution satisfying t...

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  16. For the differential equation, find a particular solution satisfying t...

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  17. Find a particular solution satisfying the given condition: cos((dy)/(d...

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  18. Find a particular solution satisfying the given condition: (dy)/(dx)=y...

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  19. Find the equation of a curve passing through the points (0,0) and whos...

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  20. For the differential equation xy (dy)/(dx) = (x+2)(y+2), find the solu...

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