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Beliebt Rechnen >

6y^{''}-5y^'+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

6y^{''}+y^'-5y=0

6 y^{^{''}} + y^{^{'}} - 5 y = 0

(d^2y)/(dx^2)-6(dy)/(dx)+13y=0

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 13 y = 0

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

6y^{''}-5y^'+y=0,y(0)=-1,y^'(0)=1

6 y^{^{''}} - 5 y^{^{'}} + y = 0, y (0) = - 1, y^{^{'}} (0) = 1

y^{'''}-y^{''}-5y^'-3y=0

y^{^{'''}} - y^{^{''}} - 5 y^{^{'}} - 3 y = 0