5x*(dy)/(dx)=2xe^x-5y+6x^2

解答

5 x \cdot \frac{d y}{d x} = 2 x e^{x} - 5 y + 6 x^{2}

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

求解步骤

5 x \cdot \frac{d y}{d x} = 2 x e^{x} - 5 y + 6 x^{2}

求解线性方程:

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

y = \frac{2 ( e ^{x} x - e ^{x} )}{5 x} + \frac{2 x ^{2}}{5} + \frac{c _{1}}{x}

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