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Beliebt Rechnen >

(d^2-8d+9)y=8sin(5x)

Lösung

(d^{2} - 8 d + 9) y = 8 sin (5 x)

Lösung

y = c_{1} e^{(4 + 7) x} + c_{2} e^{(4 - 7) x} - \frac{2}{29} sin (5 x) + \frac{5}{29} cos (5 x)

Schritte zur Lösung

(d^{2} - 8 d + 9) y = 8 sin (5 x)

Solve linear ODE:

y = c_{1} e^{(4 + 7) x} + c_{2} e^{(4 - 7) x} - \frac{2}{29} sin (5 x) + \frac{5}{29} cos (5 x)

y = c_{1} e^{(4 + 7) x} + c_{2} e^{(4 - 7) x} - \frac{2}{29} sin (5 x) + \frac{5}{29} cos (5 x)

Graph

Beliebte Beispiele

y^{'''}+3y^{''}+3y^'+1=0

(d^2+d-6)y=e^{-3x}

3y^{''}+5y^'-y=10

y^{''}-2y^'+y=e^{2x},y(0)=2,y^'(0)=0

-y^{''}+y^'+2y=72t+400sin(t)+36