(dy)/(dx)=3x^2-xy

解

\frac{d y}{d x} = 3 x^{2} - x y

y = 3 x - \frac{3 π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

解答ステップ

\frac{d y}{d x} = 3 x^{2} - x y

線形 ODE を解く:

y = 3 x - \frac{3 π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

y = 3 x - \frac{3 π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}