Solving an ODE Using Substitution (WeBWorK Example)

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Solve the initial value problem 2yy' + 4 = y^2 + 4x with y(0) = 9. To solve this, we should use the substitution u =
With this substitution, y = , y′=
After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'.
The solution to the original initial value problem is described by the following equation in x, y.

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