Solve: y=10xy2x\displaystyle {y}^{{′}}={10}{x}{y}-{2}{x},   y(0)=2\displaystyle {y}{\left({0}\right)}={2}

y(x)=\displaystyle {y}{\left({x}\right)}=  

Hint: Start by factoring out the greatest common factor from the right side of the differential equation.