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Beliebt Rechnen >

(d^2x)/(dt^2)-3(dx)/(dt)+2x=e^t

Lösung

\frac{d ^{2} x}{d t ^{2}} - 3 \frac{d x}{d t} + 2 x = e^{t}

Lösung

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

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} - 3 \frac{d x}{d t} + 2 x = e^{t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y=sin(3x)

y^{^{''}} - y = sin (3 x)

5y^{''}-19y^'-4y=1+4x

5 y^{^{''}} - 19 y^{^{'}} - 4 y = 1 + 4 x

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y^{''}+5y^'+6y=3e^{-2x}

y^{^{''}} + 5 y^{^{'}} + 6 y = 3 e^{- 2 x}

y^{''}-4y-12y=12t

y^{^{''}} - 4 y - 12 y = 12 t