y^{''}+6/x y^'+4/(x^2)y=0

Lösung

y^{^{''}} + \frac{6}{x} y^{^{'}} + \frac{4}{x ^{2}} y = 0

y = \frac{c _{1}}{x} + \frac{c _{2}}{x ^{4}}

Schritte zur Lösung

y^{''} (x) + \frac{6}{x} y^{'} (x) + \frac{4}{x ^{2}} y = 0

Solve linear ODE:

y = \frac{c _{1}}{x} + \frac{c _{2}}{x ^{4}}

y = \frac{c _{1}}{x} + \frac{c _{2}}{x ^{4}}

d er i v a t i v e f (x) = x^{2} - 4 x + 2

x \to 1 lim (e^{(x^{3} - x)})

\frac{d}{d x} (e^{π x})

\frac{d}{d x} (\frac{1 + 2 y ^{2}}{y sin ( x )})

\frac{d}{d x} (\frac{- \frac{5}{2}}{x ^{2}} + 5^{x})