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Beliebt Rechnen >

(d^3-2d+4)y=e^xcos(x)

Lösung

(d^{3} - 2 d + 4) y = e^{x} cos (x)

Lösung

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

Schritte zur Lösung

(d^{3} - 2 d + 4) y = e^{x} cos (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^4-2d^2+1)*y=cos(x)

(d^{4} - 2 d^{2} + 1) \cdot y = cos (x)

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

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

y^{''}+4y=cos(x)

y^{^{''}} + 4 y = cos (x)

(d^4+d^3+d^2)y=5x^2+cos(x)

(d^{4} + d^{3} + d^{2}) y = 5 x^{2} + cos (x)

(d^4+d^3+d^2)y=5x^2

(d^{4} + d^{3} + d^{2}) y = 5 x^{2}