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Beliebt Rechnen >

x^{''}-0.5x=0

Lösung

x^{^{''}} - 0.5 x = 0

Lösung

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

Schritte zur Lösung

x^{''} (t) - 0.5 x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+36y=0,y(0)=-5,y^'(0)=12

y^{^{''}} + 36 y = 0, y (0) = - 5, y^{^{'}} (0) = 12

y^{'''}+3y^{''}-24y^'+28y=0

y^{^{'''}} + 3 y^{^{''}} - 24 y^{^{'}} + 28 y = 0

y^{''}-15y^'-56y=0

y^{^{''}} - 15 y^{^{'}} - 56 y = 0

4y^{''}-21y^'+20y=0,y(0)=0

4 y^{^{''}} - 21 y^{^{'}} + 20 y = 0, y (0) = 0

(d^2y)/(dx^2)-4(dy)/(dx)-5y=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 5 y = 0