Feb 19, 2013 #1 K kakar133 Member level 2 Joined Sep 16, 2010 Messages 49 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,286 Location USA Activity points 1,579 please solve this question... using separation of variables dy/dx=ylny y(0)=5,
Feb 19, 2013 #2 _Eduardo_ Full Member level 5 Joined Aug 31, 2009 Messages 295 Helped 118 Reputation 238 Reaction score 103 Trophy points 1,323 Location Argentina Activity points 2,909 kakar133 said: please solve this question... using separation of variables dy/dx=ylny y(0)=5, Click to expand... \[\dfrac{dy}{y \ln{y}}=dx \;\;\longrightarrow\;\;\displaystyle\int{\dfrac{dy}{y \ln{y}}}=\ln(\ln{y})=C+x\] at x=0 : \[\ln(\ln{5})=C \;\;\longrightarrow\;\; y=5^{e^x}\]
kakar133 said: please solve this question... using separation of variables dy/dx=ylny y(0)=5, Click to expand... \[\dfrac{dy}{y \ln{y}}=dx \;\;\longrightarrow\;\;\displaystyle\int{\dfrac{dy}{y \ln{y}}}=\ln(\ln{y})=C+x\] at x=0 : \[\ln(\ln{5})=C \;\;\longrightarrow\;\; y=5^{e^x}\]