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Beliebt Rechnen >

y^{''}-14y^'+85y=0

Lösung

y^{^{''}} - 14 y^{^{'}} + 85 y = 0

Lösung

y = e^{7 t} (c_{1} cos (6 t) + c_{2} sin (6 t))

Schritte zur Lösung

y^{''} (t) - 14 y^{'} (t) + 85 y = 0

Solve linear ODE:

y = e^{7 t} (c_{1} cos (6 t) + c_{2} sin (6 t))

y = e^{7 t} (c_{1} cos (6 t) + c_{2} sin (6 t))

Graph

Beliebte Beispiele

(\partial)/(\partial x)(4/x)

\frac{\partial}{\partial x} (\frac{4}{x})

derivative-(12)/(s^5)

d er i v a t i v e - \frac{12}{s ^{5}}

inverselaplace 2/(s^4)

in v erse l a pl a ce \frac{2}{s ^{4}}

derivative of (-2x/((x^2+1)^2))

\frac{d}{d x} (\frac{- 2 x}{( x ^{2} + 1 ) ^{2}})

y^{''''}+5y^{''}+4y=0

y^{^{''''}} + 5 y^{^{''}} + 4 y = 0