Resolve the equation manually : dy/dx = (x ^(2))/y from x= 0 until x =0.7, with the initial condition y(0)=2. a)-using the euler explicit method (h=0.7) b)-using the euler modified method (h=0.7) c)-runge-kutta of fouth order (h=0.7) d)-calculate the error in a, b, and c.

Describe one experiment in which the glass transition temperature and melting temperature of a totally amorphous thermoplastic material can be determined. show the relevant experimental results in a diagram which should be properly annotated with the two temperatures clearly marked. what is likely to happen to the curve in the diagram if the amorphous polymer is replaced by a thermosetting type?