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Benedict Irwin edited General Solution.tex
over 9 years ago
Commit id: bea79e77f5a5c80222b35d4e774d3b17165c07d0
deletions | additions
diff --git a/General Solution.tex b/General Solution.tex
index a843090..4bdab37 100644
--- a/General Solution.tex
+++ b/General Solution.tex
...
\frac{k(V-\alpha)V'' +(V-\alpha)V'G -V'V'}{(\alpha -V)^2} -
\frac{k(V-\alpha)V'V'}{(\alpha - V)^3} \bigg) \psi(x)
\\
\frac{d^2\psi(x)}{dx^2}=\frac{d\psi(x)}{dx}\bigg( \frac{kV'(x)}{V(x)-V(x)^2} -V(x)G(x) \bigg) + \psi(x)\bigg( \frac{kV''(x)}{V(x)-V(x)^2} -G(x)V'(x)+ \frac{k(2V(x)-1)V'(x)^2}{(V(x)-1)^2V(x)^2} -V(x)G'(x) \bigg)
\end{equation}
Which is reduced to