y^{'''}-6y^{''}-7y^'=0

Lösung

y^{^{'''}} - 6 y^{^{''}} - 7 y^{^{'}} = 0

y = c_{1} + c_{2} e^{- t} + c_{3} e^{7 t}

Schritte zur Lösung

y^{'''} (t) - 6 y^{''} (t) - 7 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + c_{3} e^{7 t}

y = c_{1} + c_{2} e^{- t} + c_{3} e^{7 t}

\int t^{3} d t

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

x \to 0 lim (\frac{( - 6 + x ) ^{2} - 36}{x})

\frac{d}{d x} (- x^{3} + 2 x^{2} + 11 x + a)

d er i v a t i v e f (x) = tan (x) sin (6 x^{3})