The question seems to be incomplete, so we assuming it as:
dydx=1+x⇒dy=(1+x)dx\frac{dy}{dx}=1+x\\ \Rightarrow dy=(1+x)dx\\dxdy=1+x⇒dy=(1+x)dx
Integrating both sides, we get:
y=x+x22+cy=x+\frac{x^2}{2}+cy=x+2x2+c where ccc is the constant of integration.
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