Can I have a detailed, step-by-step explanation for the part(d) of the following question? Kindly include the relevant reasoning/assumptions made during simplifications & calculations along with them....

Can I have a
detailed, step-by-step explanation for the part(d)
of the following question?

Kindly
include the relevant reasoning/assumptions made during simplifications & calculations along with them.

Thank you very much!

Extracted text: 4. a) Briefly explain (use graphical illustrates as you need), Improved Euler's method. b) Solve dy = y – t2 +1 in the range 0 <>< 0.6="" by="" improved="" euler's="" method="" taking="" dt="" h="0.2" given="" that="" y(0)="0.5." if="" the="" exact="" solution="" is="" y="t2" +="" 2t="" +1="" –="" (1/2)et="" ,="" then="" calculate="" error="" in="" each="" step.="" c)="" find="" y(1.1)="" and="" y(1.2)="" solving="" y="y" –="" t.="" take="" h="0.1" and="" y(1)="2." d)="" solve="" y="et-y" taking="" h="0.5" given="" that="" y(0)="1" and="" find="" two="">