Y'=2x+y помогите решить

Решите задачу:

$y'=2x+y\\\\y'-y=2x\\\\y=uv\; ,\; y'=u'v+uv'\\\\u'v+uv'-uv=2x\\\\u'v+u(v'-v)=2x\\\\a)\; \; v'-v=0\\\\\frac{dv}{dx}=v\\\\\int \frac{dv}{v}=\int dx\\\\ln|v|=x\; \; \to \; \; v=e^{x}\\\\b)\; \; u'\cdot e^{x}=2x\\\\\frac{du}{dx}=\frac{2x}{e^{x}}\\\\\int du=2\int x\cdot e^{-x}dx\\\\\int x\cdot e^{-x}dx=[\, u=x\; ,\; du=dx\; ,\; v=-e^{-x}\; ]=-xe^{-x}+\int e^{-x}dx=\\\\=-xe^{-x}-e^{-x}+C\\\\c)\; \; y=2e^{x}\cdot (-xe^{-x}-x^{-x}+C)$