Science:Math Exam Resources/Courses/MATH102/December 2013/Question A 03/Statement

Consider the differential equation and initial condition

$\frac{dy}{dt}=2-y^2,y(0)=1$

Use Euler's method with one step of size $\mathrm{\Delta }t=0.1$ to approximate the value of the solution at time $t=0.1$

(a) $y(0.1)=2$

(b) $y(0.1)=2.1$

(c) $y(0.1)=2.2$

(d) $y(0.1)=1.2$

(e) $y(0.1)=1.1$