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Homework Statement
do I use the integrating factor for this question and if I do when i rearrange y^2 to the other side into the form of p(x)y does x become -1
solve z''+x*z=0?
solve z''+x*z=0 to find z?
what is the solution for [z′′+x*z=0]if you take
[tex]
y = -\frac{z'}{z}
[/tex]
then:
[tex]
y' = -\frac{z''}{z} + \frac{(z')^2}{z^2}
[/tex]
and your equation becomes of 2nd order, but a linear one:
[tex]
z'' + x \, z = 0
[/tex]
The solution for z is in terms of Airy functions.