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Beliebt Rechnen >

y^{''}-4y^'=sin(3x)

Lösung

y^{^{''}} - 4 y^{^{'}} = sin (3 x)

Lösung

y = c_{1} e^{4 x} + c_{2} - \frac{1}{25} sin (3 x) + \frac{4}{75} cos (3 x)

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) = sin (3 x)

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} - \frac{1}{25} sin (3 x) + \frac{4}{75} cos (3 x)

y = c_{1} e^{4 x} + c_{2} - \frac{1}{25} sin (3 x) + \frac{4}{75} cos (3 x)

Graph

Beliebte Beispiele

derivative 7x^6-4x^5

d er i v a t i v e 7 x^{6} - 4 x^{5}

integral of cos(2x)+sin(x)

\int cos (2 x) + sin (x) d x

integral of 10000-x^2

\int 10000 - x^{2} d x

fläche y=x^2-4x,y=-2x

a re a y = x^{2} - 4 x, y = - 2 x

limit as x approaches 2 of-2x^2

x \to 2 lim (- 2 x^{2})