y^{''}-y^'=3x

Lösung

y^{^{''}} - y^{^{'}} = 3 x

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

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

y^{^{''}} + y^{^{'}} = 4

y^{^{''}} + y^{^{'}} = e^{- x}

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

y^{^{''}} + 2 y^{^{'}} + 5 y = 4 e^{x} cos (2 x)