y^{'''}-y^'=3t

Lösung

y^{^{'''}} - y^{^{'}} = 3 t

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

Schritte zur Lösung

y^{'''} (t) - y^{'} (t) = 3 t

Solve linear ODE:

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

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

y^{^{'''}} - y^{^{'}} = 5 t

4 y^{^{''}} - y = e^{\frac{x}{2}} + 6

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

y^{^{''}} + 3 y = e^{2 t} - 2 t cos (3 t)

y^{^{''}} - 4 y^{^{'}} + 3 y = x^{2} e^{x}