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Beliebt Rechnen >

6y^{''}+(-5)y^'+y=0,y(0)=4,y^'(0)=0

Lösung

6 y^{^{''}} + (- 5) y^{^{'}} + y = 0, y (0) = 4, y^{^{'}} (0) = 0

Lösung

y = - 8 e^{\frac{t}{2}} + 12 e^{\frac{t}{3}}

Schritte zur Lösung

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

Solve linear ODE:

y = - 8 e^{\frac{t}{2}} + 12 e^{\frac{t}{3}}

y = - 8 e^{\frac{t}{2}} + 12 e^{\frac{t}{3}}

Graph

Beliebte Beispiele

y^{''}-2y^'+13y=0

y^{^{''}} - 2 y^{^{'}} + 13 y = 0

y^{''}+9y^'+17y=0

y^{^{''}} + 9 y^{^{'}} + 17 y = 0

y^{''}+8y^'+15y=0,y(0)=-2,y^'(0)=16

y^{^{''}} + 8 y^{^{'}} + 15 y = 0, y (0) = - 2, y^{^{'}} (0) = 16

y^{''}+2y^'+10y=0,y(0)=-3,y^'(0)=-4

y^{^{''}} + 2 y^{^{'}} + 10 y = 0, y (0) = - 3, y^{^{'}} (0) = - 4

y^{''}-9y^'=0,y(0)=e^{3x}

y^{^{''}} - 9 y^{^{'}} = 0, y (0) = e^{3 x}