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Beliebt Rechnen >

(D^2+1)y=12cos^2(x)

Lösung

(D^{2} + 1) y = 12 cos^{2} (x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + 4 cos^{4} (x) + 12 sin (x) (sin (x) - \frac{sin ^{3} ( x )}{3})

Schritte zur Lösung

(D^{2} + 1) y = 12 cos^{2} (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 4 cos^{4} (x) + 12 sin (x) (sin (x) - \frac{sin ^{3} ( x )}{3})

y = c_{1} cos (x) + c_{2} sin (x) + 4 cos^{4} (x) + 12 sin (x) (sin (x) - \frac{sin ^{3} ( x )}{3})

Graph

Beliebte Beispiele

(D^2+3D+2)y=1+3x+x^2

(D^{2} + 3 D + 2) y = 1 + 3 x + x^{2}

y^{''}-4y=cos(x)-sin(x)

y^{^{''}} - 4 y = cos (x) - sin (x)

y^{''}+8y^'+12y=xe^{2x}

y^{^{''}} + 8 y^{^{'}} + 12 y = x e^{2 x}

x^{''}+2x^'+1x=e^{-2t}

x^{^{''}} + 2 x^{^{'}} + 1 x = e^{- 2 t}

y^{''}+9y=4sin(3x)

y^{^{''}} + 9 y = 4 sin (3 x)