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The differential equation for which y = ...

The differential equation for which y = a cos x + b sin x is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  14. 19. The elimination of A and B from the equation y^(2) = Ax+B gives di...

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  16. If m and n are order and degree of the differential equation ((d^(2)y)...

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

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