Mathematics · Differential Equations

The differential equation satisfied by the system of parabolas y2 = 4a(x + a) is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1y(dy/dx) + 2x(dy/dx) - y = 0
2y(dy/dx)2 - 2x(dy/dx) + y = 0
3y(dy/dx)2 + 2x(dy/dx) - y = 0✓
4y(dy/dx)2 - 2x(dy/dx) - y = 0

Correct answer

y(dy/dx)2 + 2x(dy/dx) - y = 0

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The differential equation satisfied by the system of parabolas y2 = 4a(x + a) is:

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