Question 877969
Y'+x^2y=x^2
{{{dy/dx+x^2y=x^2}}}
{{{dy/dx=x^2-x^2y}}}
{{{dy/dx=x^2(1-y)}}}
{{{dy/(1-y)=x^2dx}}}
{{{-ln(1-y)=x^3/3+C}}}
{{{ln(1-y)=-x^3/3+C}}}
{{{1-y=Ce^(-x^3/3)}}}
{{{highlight(y=Ce^(-x^3/3)+1)}}}
Although it's hidden the exponent for {{{e}}} is {{{-x^3/3}}}