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Beliebt Rechnen >

9y^{''}-6y^'-y=0

Lösung

9 y^{^{''}} - 6 y^{^{'}} - y = 0

Lösung

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

Schritte zur Lösung

9 y^{''} (t) - 6 y^{'} (t) - y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}+y=0,y(pi/3)=6,y^'(pi/3)=-12

y^{^{''}} + y = 0, y (\frac{π}{3}) = 6, y^{^{'}} (\frac{π}{3}) = - 12

y^{''''}-18y^{'''}+81y^{''}=0

y^{^{''''}} - 18 y^{^{'''}} + 81 y^{^{''}} = 0

y^{''}-8y^'-33y=0

y^{^{''}} - 8 y^{^{'}} - 33 y = 0

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

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