 Solution

ID: past-exam-of-the-algebra-analysis-and-differential-equations-1-course-of-the-university-of-oxford/2013/differential-equations/7/a/solution

Collect the two dependent variables in a column vector. The vector field and initial vector are

F (x, Z) = ((∣ z_{2} ∣ + x^{2} + 1)^{- 1} (∣ z_{1} ∣ + 1)^{- 1}), B = (10) .

Y^{'} = F (x, Y)

with

Y (0) = B

. Both components of

F

are continuous on all of

R \times R^{2}

, since their denominators are at least one.

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