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Beliebt Rechnen >

y^{''''}+2y^{''}+y=9+cos(6t)

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 9 + cos (6 t)

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 9 + \frac{1}{1225} cos (6 t)

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 9 + cos (6 t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 9 + \frac{1}{1225} cos (6 t)

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 9 + \frac{1}{1225} cos (6 t)

Graph

Beliebte Beispiele

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

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

y^{'''}+4y^'=tan(x)

y^{^{'''}} + 4 y^{^{'}} = tan (x)

y^{''}-10y^'+25y=25x+10

y^{^{''}} - 10 y^{^{'}} + 25 y = 25 x + 10

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

(d^2y)/(dx^2)-(dy)/(dx)=sin(x)-cos(x)

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} = sin (x) - cos (x)