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Beliebt Rechnen >

(d^2-1)y=sin^2(x)

Lösung

(d^{2} - 1) y = sin^{2} (x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} - sin^{2} (x) - \frac{2}{5} cos (2 x)

Schritte zur Lösung

(d^{2} - 1) y = sin^{2} (x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - sin^{2} (x) - \frac{2}{5} cos (2 x)

y = c_{1} e^{x} + c_{2} e^{- x} - sin^{2} (x) - \frac{2}{5} cos (2 x)

Graph

Beliebte Beispiele

41\H(x)-8u^'+u^{''}=0

41 H (x) - 8 u^{^{'}} + u^{^{''}} = 0

y^{^{''}} - 3 y = 6 x

y^{''}+y=e^tsin(t),y(0)=0,y^'(0)=0

y^{^{''}} + y = e^{t} sin (t), y (0) = 0, y^{^{'}} (0) = 0

1/2 y^{''}+5y^'+12y=e^{-4x}(4x-2)

\frac{1}{2} y^{^{''}} + 5 y^{^{'}} + 12 y = e^{- 4 x} (4 x - 2)

2y^{''}+5y^'+2y=x^3+9e^{4x}

2 y^{^{''}} + 5 y^{^{'}} + 2 y = x^{3} + 9 e^{4 x}