The general equation of the equation $y = px + \log p$ which does not contain the singular solution, is :
Step-by-Step Solution
Key Concept: For Clairaut's form equations y = px + f(p), the general solution is obtained by replacing the parameter p with an arbitrary constant c. The singular solution is the envelope of the family of lines, found by eliminating p from y = px + f(p) and dy/dp = 0.
The general solution is obtained by replacing the parameter $p$ with an arbitrary constant $c$. Since $p = \frac{dy}{dx}$ appears in the original equation, the general solution is $y = cx + \log c$.
Correct Answer: 1