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Beliebt Rechnen >

derivative of (dy/(dx))+4y=2sin(2x)

Lösung

\frac{d}{d x} (\frac{d y}{d x}) + 4 y = 2 sin (2 x)

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 4 y = 2 sin (2 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of 6/(9+6x)

\int \frac{6}{9 + 6 x} d x

limit as h approaches 0 of 2+h

h \to 0 lim (2 + h)

derivative of-6x^3

\frac{d}{d x} (- 6 x^{3})

derivative ln(sqrt((x+7)/(x-7)))

d er i v a t i v e ln (\frac{x + 7}{x - 7})

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

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