In Exercises 1 and 2, use Euler's method with the given step size At to approximate the solution to the given initial-value problem over the time interval specified. Complete the table below. Also,...

Extracted text: In Exercises 1 and 2, use Euler's method with the given step size At to approximate the solution to the given initial-value problem over the time interval specified. Complete the table below. Also, include a sketch of the graph of the approximate solution. You may do these problems directly on this sheet! dw 1. = (3 – w) (w + 1), w(0) = 0, 0<>< 5,="" at="0.5" dt="" w(t)="" wk="" f(tk,="" wk)="" 3.5="" 1="" 2="" 3="" 2.5="" 4="" 6.="" 1.5="" 7="" 8="" 1="" 0.5="" 10="" 0.5="" 1.5="" 2="" 2.5="" 3="" 3.5="" 4="" 4.5="" dy="e2/y." y(1)="2,"><>< 3,="" at="0.5" y(t)="" 2.="" dt="" k="" f(tk,="" yk)="" yk="" 5="" 1="" 2="" 1="" 4="" 2="" 3="" 2="" 4="" 1="" t="" 0.5="" 1="" 1.5="" 2.5="">