y^{'''}+5y^{''}+4y^'-10y=0

Lösung

y^{^{'''}} + 5 y^{^{''}} + 4 y^{^{'}} - 10 y = 0

y = c_{1} e^{t} + e^{- 3 t} (c_{2} cos (t) + c_{3} sin (t))

Schritte zur Lösung

y^{'''} (t) + 5 y^{''} (t) + 4 y^{'} (t) - 10 y = 0

Solve linear ODE:

y = c_{1} e^{t} + e^{- 3 t} (c_{2} cos (t) + c_{3} sin (t))

y = c_{1} e^{t} + e^{- 3 t} (c_{2} cos (t) + c_{3} sin (t))

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

d er i v a t i v e \frac{10 lo g _{4} ( t )}{t}

\int - 2 x 8 - x^{2} d x

x \to 0 + lim (\frac{x - ∣ x ∣}{x})

x \to \infty lim (ln (3 x) - ln (x + 7))