y^{'''}-5y^{''}+6y^'=7+7

Lösung

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 7 + 7

y = c_{1} + c_{2} e^{2 t} + c_{3} e^{3 t} + \frac{7 t}{3}

Schritte zur Lösung

y^{'''} (t) - 5 y^{''} (t) + 6 y^{'} (t) = 7 + 7

Solve linear ODE:

y = c_{1} + c_{2} e^{2 t} + c_{3} e^{3 t} + \frac{7 t}{3}

y = c_{1} + c_{2} e^{2 t} + c_{3} e^{3 t} + \frac{7 t}{3}

y^{^{''}} - 4 y^{^{'}} + 4 y = 5 e^{2 x}

y^{^{''}} + 16 y = cos (4 t), y (0) = 0, y^{^{'}} (0) = 1

y^{^{''}} - 2 y^{^{'}} + 5 y = e^{x}, y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} - 6 y^{^{'}} + 9 y = x^{(- 3)} e^{3} x

x^{^{''}} + 2 x + 3 x^{^{'}} = 5 cos (t) + sin (2 t)