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Beliebt Rechnen >

y^{''}+y^'-5y=0

Lösung

y^{^{''}} + y^{^{'}} - 5 y = 0

Lösung

y = c_{1} e^{\frac{( - 1 + 21 ) t}{2}} + c_{2} e^{\frac{( - 1 - 21 ) t}{2}}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 5 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 1 + 21 ) t}{2}} + c_{2} e^{\frac{( - 1 - 21 ) t}{2}}

y = c_{1} e^{\frac{( - 1 + 21 ) t}{2}} + c_{2} e^{\frac{( - 1 - 21 ) t}{2}}

Graph

Beliebte Beispiele

(y^{''}-7y) 1/9 =0

(y^{^{''}} - 7 y) \frac{1}{9} = 0

2y^{''}+10y^'+18y=0

2 y^{^{''}} + 10 y^{^{'}} + 18 y = 0

150y^{'''}+25y^{''}+y^'=0

150 y^{^{'''}} + 25 y^{^{''}} + y^{^{'}} = 0

y^{''}+y/4 =0,y(0)=0

y^{^{''}} + \frac{y}{4} = 0, y (0) = 0

y^{''}+6y^'+9y=0,y(0)=-5,y^'(0)=14

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = - 5, y^{^{'}} (0) = 14