Determine the integrating factor μ(x)\mu(x)μ(x) for the linear ODE y′+(1x+2)y=xy' + (\frac{1}{x} + 2)y = xy′+(x1+2)y=x.
μ(x)=xe2x\mu(x) = x e^{2x}μ(x)=xe2x
μ(x)=e2x\mu(x) = e^{2x}μ(x)=e2x
μ(x)=x2ex\mu(x) = x^2 e^xμ(x)=x2ex
μ(x)=ex\mu(x) = e^xμ(x)=ex