Formula:452

Digital Library of Mathematical Functions ID 1.13.E17

${\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}\eta}^{2}}+g(z)\exp\left(2\int f(z)\mathrm{d}z\right)w=0.}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: variable
• ${\displaystyle{\displaystyle w(z)}}$: solution
• ${\displaystyle{\displaystyle f(z)}}$: analytic coefficient
• ${\displaystyle{\displaystyle\eta}}$: change of variable (locally)
• ${\displaystyle{\displaystyle g(z)}}$: analytic coefficient
 

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