1.

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

Answer»

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

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