Math Question solution needed

[kakar133]

please solve this question... using separation of variables

dy/dx=ylny y(0)=5,

 

[_Eduardo_]

please solve this question... using separation of variables

dy/dx=ylny y(0)=5,

\[\dfrac{dy}{y \ln{y}}=dx \;\;\longrightarrow\;\;\displaystyle\int{\dfrac{dy}{y \ln{y}}}=\ln(\ln{y})=C+x\]

at x=0 : \[\ln(\ln{5})=C \;\;\longrightarrow\;\; y=5^{e^x}\]