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

Lösung

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

y = c_{1} e^{3 x} + c_{2} e^{x} - \frac{6}{5} e^{x} sin (x) - \frac{3}{5} e^{x} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{x} - \frac{6}{5} e^{x} sin (x) - \frac{3}{5} e^{x} cos (x)

y = c_{1} e^{3 x} + c_{2} e^{x} - \frac{6}{5} e^{x} sin (x) - \frac{3}{5} e^{x} cos (x)

D (p) = 1200

y^{^{''}} - 3 y^{^{'}} - 10 y = 2 e^{3 x}

y^{^{''}} - 4 y = \frac{( e ^{2 x} )}{x}

5 y^{^{''}} + 180 y = 90 sin (6 t)

y^{^{''}} + 2 y^{^{'}} - 2 y = 8 e^{- 3 x}