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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{x ^{2} cos ( 2 x )}{8} + \frac{x sin ( 2 x )}{16}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{x ^{2} cos ( 2 x )}{8} + \frac{x sin ( 2 x )}{16}

y = c_{1} cos (2 x) + c_{2} sin (2 x) - \frac{x ^{2} cos ( 2 x )}{8} + \frac{x sin ( 2 x )}{16}

Graph

Beliebte Beispiele

derivative of \sqrt[4]{2x-1}

\frac{d}{d x} (4 2 x - 1)

limit as x approaches 3 of (3x)/(x-3)

x \to 3 lim (\frac{3 x}{x - 3})

integral of (x+1)/(x^2+3)

\int \frac{x + 1}{x ^{2} + 3} d x

derivative of (3x^3+9x^2/x)

\frac{d}{d x} (\frac{3 x ^{3} + 9 x ^{2}}{x})

derivative of arctan((1-2x/2))

\frac{d}{d x} (arctan (\frac{1 - 2 x}{2}))