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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 constant is

A

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

B

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

C

`Y" + 2 py' - 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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