  In the present investigation, we employ a new technique to find several first
and second order differential subordination implications involving the
following starlike class associated with a bean shaped domain:
\begin{equation*}
\mathcal{S}^*_{\mathfrak{B}}:=\left\{f\in\mathcal{S}:\dfrac{zf'(z)}{f(z)}\prec\sqrt{1+\tanh{z}}=:\mathfrak{B}(z)\right\}.
  \end{equation*} Also, we give several applications stemming from our derived
results.
