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Beliebt Rechnen >

y^{''}+3y^'+2y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = 2 e^{- t} - e^{- 2 t}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 2 y = 0

Solve linear ODE:

y = 2 e^{- t} - e^{- 2 t}

y = 2 e^{- t} - e^{- 2 t}

Graph

Beliebte Beispiele

fläche y=-x^2+7x,y=x^2-3x

a re a y = - x^{2} + 7 x, y = x^{2} - 3 x

integral of e^{x^3}6x^2

\int e^{x^{3}} 6 x^{2} d x

integral of (2x+3)/(9-4x^2)

\int \frac{2 x + 3}{9 - 4 x ^{2}} d x

limit as x approaches 0 of ((6^x-4^x))/x

x \to 0 lim (\frac{( 6 ^{x} - 4 ^{x} )}{x})

derivative of (4x+5x^2^4)

\frac{d}{d x} ((4 x + 5 x^{2})^{4})