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Plot the isoclines of the equation y = xy′ + y′′

If y is the solution of a differential equation, the points at which y' has a constant value C lie on a line for each C. This line is called an isocline.

Plot some isoclines and construct a direction field of the equation

    \[ y = x \frac{dy}{dx} + \left( \frac{dy}{dx} \right)^2. \]

Determine a one-parameter family of solutions of this equation from the appearance of the direction field.


Incomplete.

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