3xy^'=3xy^{''}

Lösung

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

y = c_{1} e^{x} + c_{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2}

y = c_{1} e^{x} + c_{2}

36 y^{^{''}} - 81 y = 0, y (0) = 0, y^{^{'}} (0) = 1

\frac{4}{32} y^{^{''}} + 3 y = 0

y^{^{''}} + 4 y^{^{'}} + 13 y = 0, y^{^{'}} (\frac{π}{2}) = 12

y^{^{''}} + 6 y^{^{'}} + 2 y = 0, y (0) = 4, y^{^{'}} (0) = 0

100 y^{^{''}} - 140 y^{^{'}} + 74 y = 0, y (3) = 6, y^{^{'}} (3) = 5