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Beliebt Rechnen >

(d^2x)/(dt^2)-(dx)/(dt)-2x=4t

Lösung

\frac{d ^{2} x}{d t ^{2}} - \frac{d x}{d t} - 2 x = 4 t

Lösung

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

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} - \frac{d x}{d t} - 2 x = 4 t

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}+2x+5x=1,x^'(0)=0,x(0)=0

(d^2-4d+4)y=x^2+e^x+cos(2x)

y^{''}+y^'-6y=-e^{2x}+12x^2+2x+3

y^{''}+6y^'+25x=0

y^{''}-n^2y=(2cos(pin)x)/n