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Beliebt Rechnen >

y^{'''}+2y^{''}+4y^'+8=0

Lösung

y^{^{'''}} + 2 y^{^{''}} + 4 y^{^{'}} + 8 = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) + 4 y^{'} (t) + 8 = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''''}-16y^{''}=x^2+e^{2x}

y^{^{''''}} - 16 y^{^{''}} = x^{2} + e^{2 x}

y^{''}-4y=sin(3t)

y^{^{''}} - 4 y = sin (3 t)

(d^2y)/(dx^2)+y=sec^2(x)

\frac{d ^{2} y}{d x ^{2}} + y = sec^{2} (x)

y^{''}+6y^'+9y=e^{-x}cos(2x)

y^{^{''}} + 6 y^{^{'}} + 9 y = e^{- x} cos (2 x)

(d^2y)/(dx^2)-4(dy)/(dx)+13y=5cos(2x)

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 13 y = 5 cos (2 x)