y^{''}-7y^'=10

Lösung

y^{^{''}} - 7 y^{^{'}} = 10

y = c_{1} e^{7 t} + c_{2} - \frac{10 t}{7}

Schritte zur Lösung

y^{''} (t) - 7 y^{'} (t) = 10

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} - \frac{10 t}{7}

y = c_{1} e^{7 t} + c_{2} - \frac{10 t}{7}

(D^{2} - 4) y = 2 cos (2 x)

y^{^{''}} + 9 y = cos (3 t), y (\frac{π}{6}) = 1, y (0) = 1

y^{^{''}} - y^{^{'}} - 2 y = 3 e^{(2 x)} - e^{(- x)}

D (r) = \frac{27 ( r ) + 13}{26}

y^{^{'''}} - 2 y^{^{''}} + 5 y^{^{'}} = - 24 e^{3 x}