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Beliebt Rechnen >

0.001y^{''}+10y=10cos(100x)

Lösung

0.001 y^{^{''}} + 10 y = 10 cos (100 x)

Lösung

y = c_{1} cos (100 x) + c_{2} sin (100 x) + 50 x sin (100 x)

Schritte zur Lösung

0.001 y^{''} (x) + 10 y = 10 cos (100 x)

Solve linear ODE:

y = c_{1} cos (100 x) + c_{2} sin (100 x) + 50 x sin (100 x)

y = c_{1} cos (100 x) + c_{2} sin (100 x) + 50 x sin (100 x)

Graph

Beliebte Beispiele

y^{''}+2y^'+y=(1+x)e^{-x}

y^{^{''}} + 2 y^{^{'}} + y = (1 + x) e^{- x}

(D^2-2D+1)y=xsin(x)

(D^{2} - 2 D + 1) y = x sin (x)

y^{''}+4y=sin(5t),y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = sin (5 t), y (0) = 0, y^{^{'}} (0) = 0

y^{''}+2y^'+2y=x^2+sin(x)

y^{^{''}} + 2 y^{^{'}} + 2 y = x^{2} + sin (x)

y^{''}+3y^'-10y=3e^{-5x}

y^{^{''}} + 3 y^{^{'}} - 10 y = 3 e^{- 5 x}