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Beliebt Rechnen >

y^{''}-9y^'-5y=0

Lösung

y^{^{''}} - 9 y^{^{'}} - 5 y = 0

Lösung

y = c_{1} e^{\frac{( 9 + 101 ) t}{2}} + c_{2} e^{\frac{( 9 - 101 ) t}{2}}

Schritte zur Lösung

y^{''} (t) - 9 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 9 + 101 ) t}{2}} + c_{2} e^{\frac{( 9 - 101 ) t}{2}}

y = c_{1} e^{\frac{( 9 + 101 ) t}{2}} + c_{2} e^{\frac{( 9 - 101 ) t}{2}}

Graph

Beliebte Beispiele

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

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

y^{''}+6y^'+13y=0,y(0)=3,y^'(0)=-8

y^{^{''}} + 6 y^{^{'}} + 13 y = 0, y (0) = 3, y^{^{'}} (0) = - 8

16y^{''}+56y^'+130y=0,y(1)=2,y^'(1)=5

16 y^{^{''}} + 56 y^{^{'}} + 130 y = 0, y (1) = 2, y^{^{'}} (1) = 5

y^{^{''}} - 324 y = 0

49y^{''}+56y^'+16y=0

49 y^{^{''}} + 56 y^{^{'}} + 16 y = 0