Find the integrating factor μ(x)\mu(x)μ(x) for the linear ODE y′+1xy=sin(x)y' + \frac{1}{x} y = \sin(x)y′+x1y=sin(x).
μ(x)=x\mu(x) = xμ(x)=x
μ(x)=1/x\mu(x) = 1/xμ(x)=1/x
μ(x)=ln(x)\mu(x) = \ln(x)μ(x)=ln(x)
μ(x)=ex\mu(x) = e^xμ(x)=ex