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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
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  5. Solve the following differential equation e^(x) tan ydx + (1- e^(x) ...

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  6. Solve the following differential equation y ( 1 - x^2) dy + x ( 1+ y...

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  7. Find the particular solution of following differential equations log...

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  9. Find the general solution of following differential equations ( 1+y^...

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  10. Find the particular solution of following differential equations xdx...

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  11. Find the general solution of following differential equations x log ...

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  13. Find the particular solution of following differential equations x(d...

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  14. Find the general solution of following differential equations (dy)/(...

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  16. Form the differential equation representing the family of ellipses hav...

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  17. Solve the following differential equations (dy)/( dx) = sqrt(4 - y^2...

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  18. Solve the following differential equations (dy)/( dx) = ( x+1)/( 2-y...

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  19. Solve the following differential equations (x^2 + xy ) dy = ( x^(2) ...

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  20. Show that the given differential equation is homogeneous and solve it:...

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