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Beliebt Rechnen >

y^{''}-2/3 y^'+1/9 y=0

Lösung

y^{^{''}} - \frac{2}{3} y^{^{'}} + \frac{1}{9} y = 0

Lösung

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{\frac{t}{3}} t

Schritte zur Lösung

y^{''} (t) - \frac{2}{3} y^{'} (t) + \frac{1}{9} y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{\frac{t}{3}} t

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{\frac{t}{3}} t

Graph

Beliebte Beispiele

y^{^{'}} = 4 y^{^{''}}

y^{''}-4y^'+29y=0,y(0)=6,y^'(0)=-3

y^{^{''}} - 4 y^{^{'}} + 29 y = 0, y (0) = 6, y^{^{'}} (0) = - 3

y^{''}+5y^'-6y=0,y(0)=-3,y^'(0)=39

y^{^{''}} + 5 y^{^{'}} - 6 y = 0, y (0) = - 3, y^{^{'}} (0) = 39

y^{''}+((0.5)/2)y=0

y^{^{''}} + (\frac{0.5}{2}) y = 0

45x^{''}+120x^'+15x=0

45 x^{^{''}} + 120 x^{^{'}} + 15 x = 0