(Answered)-The differential equation given : dy dx = x 2 - 1; y(0) = 1 - (2025 Updated Original AI-Free Solution

Question

1. The?differential?equation?given?:?^dy?_dx?=?x²?-?1;?y(0)?=?1?is?separable.?Calculate?the?solution?to?the?initial?value?problem?on?paper,?and?use?MATLAB?(or?a?calculator)?to compute?the?actual?values?for?y?at?x?=?1?and?x?=?2.?Leave?space?on?your?Word?document?to?write?down?your?work?there.