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Beliebt Rechnen >

-2y^{''}-10y^'+5/2 y=0

Lösung

- 2 y^{^{''}} - 10 y^{^{'}} + \frac{5}{2} y = 0

Lösung

y = c_{1} e^{- \frac{( 5 + 30 ) t}{2}} + c_{2} e^{\frac{( 30 - 5 ) t}{2}}

Schritte zur Lösung

- 2 y^{''} (t) - 10 y^{'} (t) + \frac{5}{2} y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{( 5 + 30 ) t}{2}} + c_{2} e^{\frac{( 30 - 5 ) t}{2}}

y = c_{1} e^{- \frac{( 5 + 30 ) t}{2}} + c_{2} e^{\frac{( 30 - 5 ) t}{2}}

Graph

Beliebte Beispiele

y^{''}-y=0,y(0)=-1,y^'(0)=1

y^{^{''}} - y = 0, y (0) = - 1, y^{^{'}} (0) = 1

x^{'''}+x^{''}-6x^'=0

x^{^{'''}} + x^{^{''}} - 6 x^{^{'}} = 0

4y^{''}-y^'+17y=0

4 y^{^{''}} - y^{^{'}} + 17 y = 0

y^{''}+4/3 y^'+y=0,y(0)=1,y^'(0)=-10/3

y^{^{''}} + \frac{4}{3} y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - \frac{10}{3}

y^{''}+15y^'=0,y(0)=-27,y^'(0)=15

y^{^{''}} + 15 y^{^{'}} = 0, y (0) = - 27, y^{^{'}} (0) = 15