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Beliebt Rechnen >

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

Lösung

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

Lösung

x = c_{1} e^{\frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( - 1 - 5 ) t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

x = c_{1} e^{\frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( - 1 - 5 ) t}{2}}

x = c_{1} e^{\frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( - 1 - 5 ) t}{2}}

Graph

Beliebte Beispiele

(d^3y)/(dx^3)-y=0

\frac{d ^{3} y}{d x ^{3}} - y = 0

y^{''}-3y^'+y3=0

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

5y^{''}+10y^'+5y=0,y(0)=0,y^'(0)=2

5 y^{^{''}} + 10 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 2

y^{''}-8y^'+16y=0,y(0)=4

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = 4

(d^2y)/(dt^2)-2(dy)/(dt)-3y=0

\frac{d ^{2} y}{d t ^{2}} - 2 \frac{d y}{d t} - 3 y = 0