If y(x)=∑n=0∞anxny(x) = \sum_{n=0}^{\infty} a_n x^ny(x)=∑n=0∞anxn satisfies the differential equation y′−2xy=1y' - 2xy = 1y′−2xy=1 with y(0)=0y(0) = 0y(0)=0, find a2a_2a2.
14\frac{1}{4}41
12\frac{1}{2}21
16\frac{1}{6}61
000