y^{'''}+8y^{''}-12y^'-144y=0

Lösung

y^{^{'''}} + 8 y^{^{''}} - 12 y^{^{'}} - 144 y = 0

y = c_{1} e^{4 t} + c_{2} e^{- 6 t} + c_{3} t e^{- 6 t}

Schritte zur Lösung

y^{'''} (t) + 8 y^{''} (t) - 12 y^{'} (t) - 144 y = 0

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- 6 t} + c_{3} t e^{- 6 t}

y = c_{1} e^{4 t} + c_{2} e^{- 6 t} + c_{3} t e^{- 6 t}

\int_{0}^{2} x + 1 d x

\int x^{- n} d x

d er i v a t i v e y = (2 lo g_{e} (x) - 3)^{4}

\int \frac{( 7 x + 29 )}{x ^{2} + 8 x + 15} d x

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