[Steps Shown] Find the solution of the differential equation that satisfied the given initial condition: (dL)/(dt)=kL^2ln t,
Question: Find the solution of the differential equation that satisfied the given initial condition:
\[\frac{dL}{dt}=k{{L}^{2}}\ln t,\,\,\,\,L\left( 1 \right)=-1\]
Deliverable: Word Document 
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