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Beliebt Rechnen >

y^{'''}-6y^{''}=4-cos(x)

Lösung

y^{^{'''}} - 6 y^{^{''}} = 4 - cos (x)

Lösung

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{2}}{3} + \frac{1}{37} sin (x) - \frac{6}{37} cos (x)

Schritte zur Lösung

y^{'''} (x) - 6 y^{''} (x) = 4 - cos (x)

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{2}}{3} + \frac{1}{37} sin (x) - \frac{6}{37} cos (x)

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{2}}{3} + \frac{1}{37} sin (x) - \frac{6}{37} cos (x)

Graph

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