1.
If the solution of dydx=y3cosxxe1/y2\frac{dy}{dx} = \frac{y^3\cos\sqrt{x}}{\sqrt{x}\,e^{1/y^2}}, y(0)=1y(0)=1 is 1y2=loge(f(x))\frac{1}{y^2} = \log_e(f(x)), then f(x)=f(x) =