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

解答

2 x (\frac{d y}{d x}) = 2 x e^{x} - 2 y + 6 x^{2}

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

求解步骤

2 x (\frac{d y}{d x}) = 2 x e^{x} - 2 y + 6 x^{2}

求解线性方程:

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

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

\frac{d}{d x} (A (e^{x} x + 2 e^{x}))

a re a y = \frac{1}{25} x^{2}, x = 5, y = 0

d er i v a t i v e \frac{2 x ^{2} - 1}{x 1 + x ^{2}}

d er i v a t i v e (x - 1) + (2 x - 2)

\frac{\partial}{\partial x} (x cos (x + 2 y) \cdot 2)