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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{( 9 + 57 ) t}{2}} + c_{2} e^{\frac{( 9 - 57 ) t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{( 9 + 57 ) t}{2}} + c_{2} e^{\frac{( 9 - 57 ) t}{2}}

y = c_{1} e^{\frac{( 9 + 57 ) t}{2}} + c_{2} e^{\frac{( 9 - 57 ) t}{2}}

Graph

Beliebte Beispiele

16y^{''}+522.67y=0

16 y^{^{''}} + 522.67 y = 0

(d^2y)/(dt^2)+64y=0

\frac{d ^{2} y}{d t ^{2}} + 64 y = 0

y^{'''}+6y^{''}-37y^'-90y=0

y^{^{'''}} + 6 y^{^{''}} - 37 y^{^{'}} - 90 y = 0

9y^{''}+y=0,y(0)=-2,y^'(0)=1

9 y^{^{''}} + y = 0, y (0) = - 2, y^{^{'}} (0) = 1

solvefor u,(d^2u)/(dx^2)=au(x)

so l v e f or u, \frac{d ^{2} u}{d x ^{2}} = a u (x)