x^2(dy)/(dx)-2x^3e^{-1/x}=y

Lösung

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

y = \frac{x ^{2}}{e ^{\frac{1}{x}}} + \frac{c _{1}}{e ^{\frac{1}{x}}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ^{2}}{e ^{\frac{1}{x}}} + \frac{c _{1}}{e ^{\frac{1}{x}}}

y = \frac{x ^{2}}{e ^{\frac{1}{x}}} + \frac{c _{1}}{e ^{\frac{1}{x}}}

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