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## Homework Statement

For each Set write the differential equation they are a solution to. It is also asked to find the wronskian but I remember how to do that.

(I am doing this on my own to brush up before I have to take mathphys next semester)

1. e

^{-x},e

^{-4x}

2, 1,x,x

^{2}

## Homework Equations

## The Attempt at a Solution

1.(1+1/16)D"=e

^{-x}+e

^{-4x}

y"+y'+y=x

^{2}+x+1 but that doesn't seem right

If someone could really explain how to do this or walk me through it I would be very happy!