2.6.10.7 ✓ Mathematica. Time used: 0.113 (sec). Leaf size: 37

ode=1/x*D[y[x],x]==y[x]*Sin[x^2-1]-2*y[x]/Sqrt[x]; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\begin{align*} y(x)&\to c_1 e^{\frac {1}{6} \left (-8 x^{3/2}-3 \cos \left (1-x^2\right )\right )}\\ y(x)&\to 0 \end{align*}