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Beliebt Rechnen >

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

Lösung

y^{^{''}} - 2 \cdot y^{^{'}} = sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) - 2 \cdot y^{'} (x) = sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral from 0 to 24 of sqrt(9+3x)

\int_{0}^{24} 9 + 3 x d x

(d^2)/(dx^2)((x^2+6)^9)

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 6)^{9})

derivative of (x-1^n)

\frac{d}{d x} ((x - 1)^{n})

fläche y=9-2x,y=x^2-39

a re a y = 9 - 2 x, y = x^{2} - 39

e^yy^'=(x+e^y-1)

e^{y} y^{^{'}} = (x + e^{y} - 1)