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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^{''''}-y=12t+cos(t)

y^{^{''''}} - y = 12 t + cos (t)

y^{''}+2y^'+2y=x^2-3xe^{-2x}cos(5x)

y^{^{''}} + 2 y^{^{'}} + 2 y = x^{2} - 3 x e^{- 2 x} cos (5 x)

y^{''}-2y^'-3y=e^{2x}

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{2 x}

y^{''}-2y^'+2y=3x+e^xtan(x)

y^{^{''}} - 2 y^{^{'}} + 2 y = 3 x + e^{x} tan (x)

y^{''}+y^'-2y=ln(x)

y^{^{''}} + y^{^{'}} - 2 y = ln (x)