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## Homework Statement

the wronskian of f, g and h is 6x

W(f,g,h)=6x

f(x)=1

g(x)=x

h(0)=0

h'(0)=0

find h(x).

## Homework Equations

## The Attempt at a Solution

I just need someone to solve it and compare it with my answer.

from the Wronskian I get

h''=6x

I use the method of undetermined coefficients and find that:

h(x)=t

^{3}

Is this correct ?

I went over this a few times and I didn't find any mistake, but I'm not sure about this.

Would appreciate if someone could also solve it.