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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+6(dy)/(dx)+9y=xe^{-3x}

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 9 y = x e^{- 3 x}

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

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

y^{''}-y=t,y(0)=0,y^'(0)=1

y^{^{''}} - y = t, y (0) = 0, y^{^{'}} (0) = 1

y^{''}-4y^'+4y=x+e^x

y^{^{''}} - 4 y^{^{'}} + 4 y = x + e^{x}

y^{''}-4y^'+4y=14x+5

y^{^{''}} - 4 y^{^{'}} + 4 y = 14 x + 5