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Beliebt Rechnen >

(d^2-2d+4)y=e^xcos(x)

Lösung

(d^{2} - 2 d + 4) \cdot y = e^{x} \cdot cos (x)

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-3y^{''}-10y^'+24=2x^2-5

y^{^{'''}} - 3 y^{^{''}} - 10 y^{^{'}} + 24 = 2 x^{2} - 5

(d^2-3d+2)y=sin(2x)

(d^{2} - 3 d + 2) y = sin (2 x)

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

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

y^{'''}-y^{''}+y^'-y=x^2+x

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = x^{2} + x

(d^3-3d+2)*y=x+1

(d^{3} - 3 d + 2) \cdot y = x + 1