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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

121y^{''}+64y^'=0

121 y^{^{''}} + 64 y^{^{'}} = 0

y^{''}+8y^'+52y=0,y(0)=6,y^'(0)=7

y^{^{''}} + 8 y^{^{'}} + 52 y = 0, y (0) = 6, y^{^{'}} (0) = 7

(d^2x)/(dt^2)=-pi^2x

\frac{d ^{2} x}{d t ^{2}} = - π^{2} x

u^{''}+0.25u^'+\H(t)=0

u^{^{''}} + 0.25 u^{^{'}} + H (t) = 0

y^{'''}-23y^{''}+160y^'-300y=0

y^{^{'''}} - 23 y^{^{''}} + 160 y^{^{'}} - 300 y = 0