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Beliebt Rechnen >

y^{''}+3y^'+2y=cos(2x)

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = cos (2 x)

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{3}{20} sin (2 x) - \frac{1}{20} cos (2 x)

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) + 2 y = cos (2 x)

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{3}{20} sin (2 x) - \frac{1}{20} cos (2 x)

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{3}{20} sin (2 x) - \frac{1}{20} cos (2 x)

Graph

Beliebte Beispiele

fläche y=x,y=x^3,[-1,2]

a re a y = x, y = x^{3}, [- 1, 2]

integral of-e^{2t}

\int - e^{2 t} d t

((3y^2-t^2))/(y^5)(dy)/(dt)+t/(2y^4)=0

\frac{( 3 y ^{2} - t ^{2} )}{y ^{5}} \frac{d y}{d t} + \frac{t}{2 y ^{4}} = 0

y^'=y-x^2+1,y(0)=0

y^{^{'}} = y - x^{2} + 1, y (0) = 0

integral of (b-x)/x

\int \frac{b - x}{x} d x