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Beliebt Rechnen >

y^{'''}+6y^{''}=3-cos(x)

Lösung

y^{^{'''}} + 6 y^{^{''}} = 3 - cos (x)

Lösung

y = c_{1} e^{- 6 x} + c_{2} + c_{3} x + \frac{x ^{2}}{4} + \frac{1}{37} sin (x) + \frac{6}{37} cos (x)

Schritte zur Lösung

y^{'''} (x) + 6 y^{''} (x) = 3 - cos (x)

Solve linear ODE:

y = c_{1} e^{- 6 x} + c_{2} + c_{3} x + \frac{x ^{2}}{4} + \frac{1}{37} sin (x) + \frac{6}{37} cos (x)

y = c_{1} e^{- 6 x} + c_{2} + c_{3} x + \frac{x ^{2}}{4} + \frac{1}{37} sin (x) + \frac{6}{37} cos (x)

Graph

Beliebte Beispiele

x^{''}+3x^'+61/4 x= 1/2 e^t

x^{^{''}} + 3 x^{^{'}} + \frac{61}{4} x = \frac{1}{2} e^{t}

y^{''}+4y^'=3sin(2t)

y^{^{''}} + 4 y^{^{'}} = 3 sin (2 t)

y^{'''}+y^'=sec(t),y^'(0)=3

y^{^{'''}} + y^{^{'}} = sec (t), y^{^{'}} (0) = 3

(d^2-2d)y=e^xsin(x)

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

1/2 y^{''}+2y=3tan(2t)-1/3 e^{4t}

\frac{1}{2} y^{^{''}} + 2 y = 3 tan (2 t) - \frac{1}{3} e^{4 t}