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Beliebt Rechnen >

y^{''}+3y^'+2y=sin(2x)

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = sin (2 x)

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - \frac{1}{20} sin (2 x) - \frac{3}{20} cos (2 x)

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) + 2 y = sin (2 x)

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - \frac{1}{20} sin (2 x) - \frac{3}{20} cos (2 x)

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - \frac{1}{20} sin (2 x) - \frac{3}{20} cos (2 x)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-5(dy)/(dx)+6y=3x

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = 3 x

y^{''}-y^'-12y=2t^6e^{-3t}

y^{^{''}} - y^{^{'}} - 12 y = 2 t^{6} e^{- 3 t}

y^{''}+y=4,y(0)=0,y^'(0)=0

y^{^{''}} + y = 4, y (0) = 0, y^{^{'}} (0) = 0

4q^{''}+8q^'+1/(0.0125)q=88t

4 q^{^{''}} + 8 q^{^{'}} + \frac{1}{0.0125} q = 88 t

x^{''}+x^'+2x=cos(2t)

x^{^{''}} + x^{^{'}} + 2 x = cos (2 t)