展开 ((dy)/(dx)-2y)e^{2x}

解答

展开

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

e^{2 x} \frac{d y}{d x} - 2 e^{2 x} y

求解步骤

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

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

使用分配律:

a (b - c) = ab - a c

a = e^{2 x}, b = \frac{d y}{d x}, c = 2 y

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

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

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