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Beliebt Rechnen >

x^{''}+2x^'+1x=e^{-2t},x(0)=2,x^'(0)=1

Lösung

x^{^{''}} + 2 x^{^{'}} + 1 x = e^{- 2 t}, x (0) = 2, x^{^{'}} (0) = 1

Lösung

x = e^{- t} + 4 e^{- t} t + e^{- 2 t}

Schritte zur Lösung

x^{''} (t) + 2 x^{'} (t) + 1 x = e^{- 2 t}

Solve linear ODE:

x = e^{- t} + 4 e^{- t} t + e^{- 2 t}

x = e^{- t} + 4 e^{- t} t + e^{- 2 t}

Graph

Beliebte Beispiele

y^{''}+4y=cos(2x)+1

y^{^{''}} + 4 y = cos (2 x) + 1

(d^2y)/(dx^2)+y=4xcos(x)

\frac{d ^{2} y}{d x ^{2}} + y = 4 x cos (x)

y^{^{''}} + 49 y = 3

x^{^{''}} + x = - e^{t}

(d^2y)/(dx^2)+9y=5sin(4x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = 5 sin (4 x)