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Beliebt Rechnen >

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

Lösung

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

Lösung

x = c_{1} e^{t} + c_{2} e^{- t} - \frac{e ^{- t} t}{2}

Schritte zur Lösung

x^{''} (t) - x = e^{- t}

Solve linear ODE:

x = c_{1} e^{t} + c_{2} e^{- t} - \frac{e ^{- t} t}{2}

x = c_{1} e^{t} + c_{2} e^{- t} - \frac{e ^{- t} t}{2}

Graph

Beliebte Beispiele

y^{''}+4y^'+4y=ln(x)

y^{^{''}} + 4 y^{^{'}} + 4 y = ln (x)

y^{''}+4y=32sin(4t),y(0)=1,y^'(0)=0

y^{^{''}} + 4 y = 32 sin (4 t), y (0) = 1, y^{^{'}} (0) = 0

y^{''}+y^'-6=4x^3+3x

y^{^{''}} + y^{^{'}} - 6 = 4 x^{3} + 3 x

x^{^{''}} - 25 x = 6 t

x^{''}-4x^'+4x=e^t+e^{2t}+1

x^{^{''}} - 4 x^{^{'}} + 4 x = e^{t} + e^{2 t} + 1