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The differential equation of the family ...

The differential equation of the family of curves `y=Ae^(3x)+Be^(5x)`, where A, B are arbitrary constants, is

A

`(d^(2)y)/(dx^(2)) +8(dy)/(dx) +15y=0`

B

`(d^(2)y)/(dx^(2)) -8(dy)/(dx)+15y=0`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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