y^{'''}-11y^{''}+35y^'-25=0

Lösung

y^{^{'''}} - 11 y^{^{''}} + 35 y^{^{'}} - 25 = 0

y = c_{1} + e^{\frac{11 t}{2}} (c_{2} cos (\frac{19 t}{2}) + c_{3} sin (\frac{19 t}{2})) + \frac{5 t}{7}

Schritte zur Lösung

y^{'''} (t) - 11 y^{''} (t) + 35 y^{'} (t) - 25 = 0

Solve linear ODE:

y = c_{1} + e^{\frac{11 t}{2}} (c_{2} cos (\frac{19 t}{2}) + c_{3} sin (\frac{19 t}{2})) + \frac{5 t}{7}

y = c_{1} + e^{\frac{11 t}{2}} (c_{2} cos (\frac{19 t}{2}) + c_{3} sin (\frac{19 t}{2})) + \frac{5 t}{7}

\frac{d ^{2} y}{d t ^{2}} + 2 y = cos (7 t)

y^{^{''}} + 3 y = 2

y^{^{''}} - 2 y^{^{'}} - 3 y = 1, y (0) = 0, y^{^{'}} (0) = 0

a^{2} \cdot y + y^{^{''}} = cos (b \cdot t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} - y^{^{'}} = 1 - x^{2}