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Beliebt Rechnen >

2y^{''}-5y^'-12y=0

Lösung

2 y^{^{''}} - 5 y^{^{'}} - 12 y = 0

Lösung

y = c_{1} e^{4 t} + c_{2} e^{- \frac{3 t}{2}}

Schritte zur Lösung

2 y^{''} (t) - 5 y^{'} (t) - 12 y = 0

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- \frac{3 t}{2}}

y = c_{1} e^{4 t} + c_{2} e^{- \frac{3 t}{2}}

Graph

Beliebte Beispiele

integral from 0 to 49 of 1/(sqrt(49-x))

\int_{0}^{49} \frac{1}{49 - x} d x

derivative xsin(5/x)

d er i v a t i v e x sin (\frac{5}{x})

derivative of x/(1-ln(x-9))

\frac{d}{d x} (\frac{x}{1 - ln ( x - 9 )})

xy^'-y= 5/4 xln(x)

x y^{^{'}} - y = \frac{5}{4} x ln (x)

tangent y=8xarccos(x-1),\at x=1

t an g e n t y = 8 x arccos (x - 1), at x = 1