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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- t} + e^{t} (c_{3} cos (t) + c_{4} sin (t))

Schritte zur Lösung

y^{(4)} (t) - y^{'''} (t) + 2 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + e^{t} (c_{3} cos (t) + c_{4} sin (t))

y = c_{1} + c_{2} e^{- t} + e^{t} (c_{3} cos (t) + c_{4} sin (t))

Graph

Beliebte Beispiele

(y^{''}-ay^')=by

(y^{^{''}} - a y^{^{'}}) = b y

y^{''}+12y^'+4y=0,y(0)=-3,y^'(0)=0

y^{^{''}} + 12 y^{^{'}} + 4 y = 0, y (0) = - 3, y^{^{'}} (0) = 0

y^{''}+16.2y^'=0

y^{^{''}} + 16.2 y^{^{'}} = 0

(d^2y)/(dx^2)-3(dy)/(dx)+4y=0

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 4 y = 0

y^{''}+10y^'+24y=0,y(0)=0,y^'(0)=-5

y^{^{''}} + 10 y^{^{'}} + 24 y = 0, y (0) = 0, y^{^{'}} (0) = - 5