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Let p in IR, then the differential equat...

Let `p in IR`, then the differential equation of the family of curves `y = (alpha + beta x) e^(px)`, where `alpha, beta` are arbitrary constants, is

A

`y'' = 4py' + p^(2)y = 0`

B

`y'' - 2py' + p^(2)y = 0`

C

`y'' + 2py' - p^(2)y = 0`

D

`y'' + 2py' + p^(2)y = 0`

Text Solution

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The correct Answer is:
B
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