Solving h(x): Find the Right Answer

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SUMMARY

The discussion centers on solving for the function h(x) given the Wronskian W(f,g,h) = 6x, where f(x) = 1 and g(x) = x. The second derivative h'' is derived as 6x, leading to the solution h(x) = x^3 using the method of undetermined coefficients. Participants confirm the correctness of this solution, clarifying the notation from h(t) to h(x).

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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)=t3

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.
 
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Roni1985 said:

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)=t3

yes that is correct, just you have h(x) and not h(t) so h=x3
 
rock.freak667 said:
yes that is correct, just you have h(x) and not h(t) so h=x3

yea right x^3

Thanks a lot...
 

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