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Beliebt Rechnen >

y^{''}+(y^')/2-y/2 =0

Lösung

y^{^{''}} + \frac{y ^{^{'}}}{2} - \frac{y}{2} = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) + \frac{y ^{'} ( t )}{2} - \frac{y}{2} = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^3y)/(dx^3)-8y=0

\frac{d ^{3} y}{d x ^{3}} - 8 y = 0

3y^{''}+2y^'-8y=0,y(0)=-6,y^'(0)=-18

3 y^{^{''}} + 2 y^{^{'}} - 8 y = 0, y (0) = - 6, y^{^{'}} (0) = - 18

10y^{''}-3y^'=0

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

(d^2x)/(dt^2)=x

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

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

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