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Beliebt Rechnen >

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

Lösung

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

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

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

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)/(dt^2)+4y=4sec^2(2t)

\frac{d ^{2} y}{d t ^{2}} + 4 y = 4 sec^{2} (2 t)

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

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

y^{''}+5y^'+6y=-19te^{2t}

y^{^{''}} + 5 y^{^{'}} + 6 y = - 19 t e^{2 t}

y^{''}+1/2 y^'+y=cos(t)

y^{^{''}} + \frac{1}{2} y^{^{'}} + y = cos (t)

y^{'''}-4y^'=3x-1

y^{^{'''}} - 4 y^{^{'}} = 3 x - 1