The result requested can be obtained either by solving the given equations analytically or by plotting numerically generated approximations to the solutions. Try to form an opinion about the advantages and disadvantages of each approach. (A computer algebra system is recommended.)

Solve the initial value problem.

y' = 8y2 + xy2, y(0) = 1

y(x) = −2/(16x+(x^2)−2)

Determine where the solution attains its minimum value.

x =