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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of sec^2(3x*3)

\frac{d}{d x} (sec^{2} (3 x) \cdot 3)

limit as x approaches-10-of sqrt(4x+40)

x \to - 10 - lim (4 x + 40)

tangent f(x)=26-x^2,(-5,1)

t an g e n t f (x) = 26 - x^{2}, (- 5, 1)

integral of 1/(sqrt(2x+1))

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

maclaurin f(x)= 1/(2x-5)

ma c l a u r in f (x) = \frac{1}{2 x - 5}