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Beliebt Rechnen >

6y^{''}-5y^'+y=0,y(0)=e^{x/2}

Lösung

6 y^{^{''}} - 5 y^{^{'}} + y = 0, y (0) = e^{\frac{x}{2}}

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{\frac{x}{3}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{\frac{x}{3}}

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{\frac{x}{3}}

Graph

Beliebte Beispiele

y^{'''}+2y^{''}-20y^'+24y=0

y^{^{'''}} + 2 y^{^{''}} - 20 y^{^{'}} + 24 y = 0

y^{''}-8y^{''}+16y=0

y^{^{''}} - 8 y^{^{''}} + 16 y = 0

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

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

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

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

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

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