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Beliebt Rechnen >

y^{''}-3y^'-54y=0

Lösung

y^{^{''}} - 3 y^{^{'}} - 54 y = 0

Lösung

y = c_{1} e^{9 t} + c_{2} e^{- 6 t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 54 y = 0

Solve linear ODE:

y = c_{1} e^{9 t} + c_{2} e^{- 6 t}

y = c_{1} e^{9 t} + c_{2} e^{- 6 t}

Graph

Beliebte Beispiele

derivative of x^{8cos(x})

\frac{d}{d x} (x^{8 c o s (x)})

integral of-x/(1-x)

\int - \frac{x}{1 - x} d x

tangent y=-x^3+9x^2-6x+9,(7,65)

t an g e n t y = - x^{3} + 9 x^{2} - 6 x + 9, (7, 65)

y^'=(4x^3+1)/(2y-6)

y^{^{'}} = \frac{4 x ^{3} + 1}{2 y - 6}

d/(dt)((tsin(t))/(1+t))

\frac{d}{d t} (\frac{t sin ( t )}{1 + t})