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Beliebt Rechnen >

x^2y^{''}+5xy^'+3y=0

Lösung

x^{2} y^{^{''}} + 5 x y^{^{'}} + 3 y = 0

Lösung

y = \frac{c _{1}}{x} + \frac{c _{2}}{x ^{3}}

Schritte zur Lösung

x^{2} y^{''} (x) + 5 x y^{'} (x) + 3 y = 0

Solve linear ODE:

y = \frac{c _{1}}{x} + \frac{c _{2}}{x ^{3}}

y = \frac{c _{1}}{x} + \frac{c _{2}}{x ^{3}}

Graph

Beliebte Beispiele

derivative (7+2x)/(9-8x)

d er i v a t i v e \frac{7 + 2 x}{9 - 8 x}

integral of 15e^{-5x}

\int 15 e^{- 5 x} d x

d u = \frac{1}{x} d x

integral of (12e^x-5x^{-2})

\int (12 e^{x} - 5 x^{- 2}) d x

derivative of (x^2-1/(x^2)^6)

\frac{d}{d x} ((x^{2} - \frac{1}{x ^{2}})^{6})