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Beliebt Rechnen >

y^{'''}+4y^{''}-16y^'-64y=0

Lösung

y^{^{'''}} + 4 y^{^{''}} - 16 y^{^{'}} - 64 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 4 y^{''} (t) - 16 y^{'} (t) - 64 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of (3x^2-x+1)/(x^3-x^2)

\int \frac{3 x ^{2} - x + 1}{x ^{3} - x ^{2}} d x

y^{''}+49y=cos(10t)

y^{^{''}} + 49 y = cos (10 t)

derivative ln(x^3+5x+3)

d er i v a t i v e ln (x^{3} + 5 x + 3)

limit as x approaches 1 of xsin(1/x)

x \to 1 lim (x sin (\frac{1}{x}))

tangent y=x^4-3x^2+2,(1,0)

t an g e n t y = x^{4} - 3 x^{2} + 2, (1, 0)