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The differential equation satisfied by f...

The differential equation satisfied by family of curves `y = Ae ^(x)+Be ^(3x) + Ce^(5x)` where A,B,C ar arbitrary constnat s is:

A

`(d ^(3)y)/(dx ^(3)) -9 ( d ^(2)y)/(dx ^(2))+23 (dy )/(dx)+15 y =0`

B

`(d ^(3)y)/(dx ^(3)) -9 ( d ^(2)y)/(dx ^(2))-23 (dy )/(dx)+15 y =0`

C

`(d ^(3)y)/(dx ^(3)) +9 ( d ^(2)y)/(dx ^(2))-23 (dy )/(dx)+15 y =0`

D

`(d ^(3)y)/(dx ^(3)) +9 ( d ^(2)y)/(dx ^(2))+23 (dy )/(dx)-15 y =0`

Text Solution

Verified by Experts

The correct Answer is:
D
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