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Beliebt Rechnen >

y^{'''}+13y^{''}-9y^'-405y=0

Lösung

y^{^{'''}} + 13 y^{^{''}} - 9 y^{^{'}} - 405 y = 0

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- 9 t} + c_{3} t e^{- 9 t}

Schritte zur Lösung

y^{'''} (t) + 13 y^{''} (t) - 9 y^{'} (t) - 405 y = 0

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- 9 t} + c_{3} t e^{- 9 t}

y = c_{1} e^{5 t} + c_{2} e^{- 9 t} + c_{3} t e^{- 9 t}

Graph

Beliebte Beispiele

y^'=3-(2y)/(200+x)

y^{^{'}} = 3 - \frac{2 y}{200 + x}

integral of (2+x)/(9+x^2)

\int \frac{2 + x}{9 + x ^{2}} d x

integral of 2/((25+x^2)^{3/2)}

\int \frac{2}{( 25 + x ^{2} ) ^{\frac{3}{2}}} d x

y^{''}+ay^'+by=0

y^{^{''}} + a y^{^{'}} + b y = 0

integral of xsqrt(a^2-x^2)

\int x a^{2} - x^{2} d x