Using Euler's Method with a step size of h = 0.5, estimate the value for y(3) for the differential equation , with y(2) = 5.

Question

Using Euler's Method with a step size of h = 0.5, estimate the value for y(3) for the differential equation  , with y(2) = 5.

A	5.352
B	5.230
C	5.238
D	5.233

Answer 1

f(x, y) = (1 + 2lnx)/(xy), y(2) = 5

y(2.5) = 5 + 0.5(1 + 2ln2)/(2·5) = 5.119315

y(3) = 5.119315 + 0.5(1 + 2ln2.5)/(2.5·5.119315) = 5.22997751 = 5.230

Right answer is B: y = 5.230