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Beliebt Rechnen >

(d^2y)/(dx^2)+4y=2sin(2x)

Lösung

\frac{d ^{2} y}{d x ^{2}} + 4 y = 2 sin (2 x)

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 4 y = 2 sin (2 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=3*e^{-t}

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 \cdot e^{- t}

y^{''}+16y=5cos(4t),y(0)=1,y^'(0)=0

y^{^{''}} + 16 y = 5 cos (4 t), y (0) = 1, y^{^{'}} (0) = 0

y^{''''}+9y^{''}=20e^{-t}

y^{^{''''}} + 9 y^{^{''}} = 20 e^{- t}

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

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

y^{''}-y=2.9cos(t),y(0)=0,y^'(0)=2.9

y^{^{''}} - y = 2.9 cos (t), y (0) = 0, y^{^{'}} (0) = 2.9