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Beliebt Rechnen >

y^{''}+4y=(cos(2x))/2

Lösung

y^{^{''}} + 4 y = \frac{cos ( 2 x )}{2}

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{8}

Schritte zur Lösung

y^{''} (x) + 4 y = \frac{cos ( 2 x )}{2}

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{8}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{8}

Graph

Beliebte Beispiele

y^{''}-y^'-2y=((e^t+e^{-t}))/2

y^{^{''}} - y^{^{'}} - 2 y = \frac{( e ^{t} + e ^{- t} )}{2}

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

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

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

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = 2 x

x^{''}+9x=sin(t)

x^{^{''}} + 9 x = sin (t)

y^{''}-2y^'-3y=3e^{(2t)}

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 e^{(2 t)}