for this ODE-$\displaystyle \frac{dy}{dt}+y\sqrt{t}sint=0$, do I need to use a Fresnel integral to solve it? or can it be simplified another way from the standard form y(t)=cexp(-I)? it can be expanded to the expression- $\displaystyle \large y(t)=ce^{\sqrt{2}cost+\frac{1}{2}\int \frac{cost}{\sqrt{t}}dt}$

thanks very much!