3. Suppose * = f(). (a) Given y(xo) = Yo, when does this equation have a unique solution? (b) Make a substitution z = how to separate the variables. z(x, y) to transform this equation into a separable...

Extracted text: 3. Suppose * = f(). (a) Given y(xo) = Yo, when does this equation have a unique solution? (b) Make a substitution z = how to separate the variables. z(x, y) to transform this equation into a separable one. Show (c) Construct an example of such an equation and solve it using the substitution found in (b).