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Beliebt Rechnen >

y^{''}-4y-4y=0

Lösung

y^{^{''}} - 4 y - 4 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) - 4 y - 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

y^{''}+4y^'+20y=0,y(0)=2,y^'(0)=-8

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (0) = 2, y^{^{'}} (0) = - 8

(y^{''}-6y^'+9y)^3=0

(y^{^{''}} - 6 y^{^{'}} + 9 y)^{3} = 0

y^{''''}+4y^{'''}-3y^{''}-3y^'+1/2 y=0

y^{^{''''}} + 4 y^{^{'''}} - 3 y^{^{''}} - 3 y^{^{'}} + \frac{1}{2} y = 0

(d^3-6d^2+11d-6)y=0

(d^{3} - 6 d^{2} + 11 d - 6) y = 0