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Beliebt Rechnen >

y^{''}+4y^'+5y=2e^{-2x}cos(x)

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = 2 e^{- 2 x} cos (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 5 y = 2 e^{- 2 x} cos (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-4(dy)/(dx)+4y=1

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = 1

y^{''}+2y^'+y=4sin(x)

y^{^{''}} + 2 y^{^{'}} + y = 4 sin (x)

y^{^{''}} - 2 y - 24 = 0

y^{''}+4y^'+4y=3t

y^{^{''}} + 4 y^{^{'}} + 4 y = 3 t

(d^2y)/(dx^2)+2(dy)/(dx)-3y=24e^{3x}

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 24 e^{3 x}