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Beliebt Rechnen >

y^{'''}-8y=0,y(0)=1,y^'(0)=-1,y^{''}(0)=0

Lösung

y^{^{'''}} - 8 y = 0, y (0) = 1, y^{^{'}} (0) = - 1, y^{^{''}} (0) = 0

Lösung

y = (1 - \frac{5}{6}) e^{2 t} + e^{- t} (\frac{5 cos ( 3 t )}{6} - \frac{1}{2 3} sin (3 t))

Schritte zur Lösung

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

Solve linear ODE:

y = (1 - \frac{5}{6}) e^{2 t} + e^{- t} (\frac{5 cos ( 3 t )}{6} - \frac{1}{2 3} sin (3 t))

y = (1 - \frac{5}{6}) e^{2 t} + e^{- t} (\frac{5 cos ( 3 t )}{6} - \frac{1}{2 3} sin (3 t))

Graph

Beliebte Beispiele

linear y^{''}+4y^'+4y=0

l in e a r y^{^{''}} + 4 y^{^{'}} + 4 y = 0

y^{'''}+2y^{''}-8y^'=0

y^{^{'''}} + 2 y^{^{''}} - 8 y^{^{'}} = 0

y^{''}+4y=0,y^'(0)=0

y^{^{''}} + 4 y = 0, y^{^{'}} (0) = 0

y^{''}+a^2*n^2*pi^2*y=0,y^'(0)=0

y^{^{''}} + a^{2} \cdot n^{2} \cdot π^{2} \cdot y = 0, y^{^{'}} (0) = 0

(d^2y)/(dx^2)+k^2*y^'=0

\frac{d ^{2} y}{d x ^{2}} + k^{2} \cdot y^{^{'}} = 0