Mathematics · Differential Equations

For Clairaut's equation y = px + f(p), the C-discriminant relation is obtained by differentiating the complete primitive F(x, y, c) = 0 with respect to the parameter c and setting it to zero. In terms of parameter c, this is equivalent to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1∂F/∂c = 0✓
2∂F/∂x = 0
3∂F/∂y = 0
4dF/dx = 0

Correct answer

∂F/∂c = 0

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For Clairaut's equation y = px + f(p), the C-discriminant relation is obtained by differentiating the complete primitive F(x, y, c) = 0 with respect to the parameter c and setting it to zero. In terms of parameter c, this is equivalent to:

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For Clairaut's equation y = px + f(p), the C-discriminant relation is obtained by differentiating the complete primitive F(x, y, c) = 0 with respect to the parameter c and setting it to zero. In terms of parameter c, this is equivalent to:

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