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DE of all parabolas with vertex at the origin and axis along the positive Y-axis

The same question, asked 2 times: May 2021 S1, 26 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    May 2021 S1

    120
    The differential equation of all parabolas having vertex at the origin and axis along positive Y-axis is

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  2. Question 2

    26 Apr 2025 S2

    125
    The differential equation representing the family of parabolas having vertex at the origin and axis along the positive Y -axis is

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