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Beliebt Rechnen >

(d^2y)/(dx^2)=sin(2x)

Lösung

\frac{d ^{2} y}{d x ^{2}} = sin (2 x)

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = sin (2 x)

Ersetze

\frac{d ^{2} y}{d x ^{2}}

mit

y^{''} (x)

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

Löse

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

Löse

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

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

Graph

Beliebte Beispiele

integral from 1 to 2 of ((2sqrt(x-1)))/x

\int_{1}^{2} \frac{( 2 x - 1 )}{x} d x

inverselaplace 1/(s+4)

in v erse l a pl a ce \frac{1}{s + 4}

derivative of 4/((x+1^2))

\frac{d}{d x} (\frac{4}{( x + 1 ) ^{2}})

integral of (2/x-3/(x^4))

\int (\frac{2}{x} - \frac{3}{x ^{4}}) d x

steigung y= 2/x

s l o p e y = \frac{2}{x}