Use Euler's method to obtain a four$-$decimal approximation of the indicated value. Carry out the recursion of the equation

yn $+1=$ yn $+$ hf$($xn$,$ yn$)$

by hand, first using

h $=0\mathrm{.}1$

and then using

h $=0\mathrm{.}05.$

y$=2$x $3$y $+1,$ y$(1)=4$;$$ y$(1\mathrm{.}2)$

h $=0\mathrm{.}1$

y$(1\mathrm{.}2)$

h $=0\mathrm{.}05$

y$(1\mathrm{.}2)$