The general solution of the differential equation $\large\frac{dy}{dx}$$=e^{\large\frac{x^2}{2}}+xy$ is : $$(A)\;y=ce^{\large\frac{x^2}{2}} \quad (B)\;y=-ce^{\large\frac{x^2}{2}} \quad (C)\;y=(x+c)e^{\large\frac{x^2}{2}} \quad (D)\;y=(c-x)e^{\large\frac{x^2}{2}}$$

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