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Beliebt Rechnen >

(d^2x)/(dt^2)+4(dx)/(dt)+2x=0,x(0)=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 4 \frac{d x}{d t} + 2 x = 0, x (0) = 0

Lösung

x = - c_{2} e^{(- 2 + 2) t} + c_{2} e^{(- 2 - 2) t}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 4 \frac{d x}{d t} + 2 x = 0

Solve linear ODE:

x = - c_{2} e^{(- 2 + 2) t} + c_{2} e^{(- 2 - 2) t}

x = - c_{2} e^{(- 2 + 2) t} + c_{2} e^{(- 2 - 2) t}

Graph

Beliebte Beispiele

y^{''''}+2y^{'''}+2y^{''}+2y^'+y=0

y^{^{''''}} + 2 y^{^{'''}} + 2 y^{^{''}} + 2 y^{^{'}} + y = 0

y^{''}-6y^'+9y=0,y(0)=0,y^'(0)=1

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 1

(y^{''}+4y^'+20y)^2=0

(y^{^{''}} + 4 y^{^{'}} + 20 y)^{2} = 0

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

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

y^{'''}+y^{''}-7y^'+5y=0

y^{^{'''}} + y^{^{''}} - 7 y^{^{'}} + 5 y = 0