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Beliebt Rechnen >

y^{''}+y^'-2y=8sin(2x)

Lösung

y^{^{''}} + y^{^{'}} - 2 y = 8 sin (2 x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- 2 x} - \frac{6}{5} sin (2 x) - \frac{2}{5} cos (2 x)

Schritte zur Lösung

y^{''} (x) + y^{'} (x) - 2 y = 8 sin (2 x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 2 x} - \frac{6}{5} sin (2 x) - \frac{2}{5} cos (2 x)

y = c_{1} e^{x} + c_{2} e^{- 2 x} - \frac{6}{5} sin (2 x) - \frac{2}{5} cos (2 x)

Graph

Beliebte Beispiele

(d^2+2d+1)y=cos^2(x)

(d^{2} + 2 d + 1) y = cos^{2} (x)

(d^2+5d+6)y=e^{-2}xsin^2(x)

(d^{2} + 5 d + 6) y = e^{- 2} x sin^{2} (x)

solvefor y,(d^2+4d+4)y=sin(t)

so l v e f or y, (d^{2} + 4 d + 4) y = sin (t)

(d^2-1)y=e^x(1+x^2)

(d^{2} - 1) y = e^{x} (1 + x^{2})

(d - 1)^{4} y = e^{x}