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Example 8 - Family of parabolas having vertex at origin - Formation of Differntial equation when general solution given

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Example 8 Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of . Since parabola has axis along positive x-axis, its Equation : 2 =4 Diff. w.r.t. 2 = 4 2 =4 Putting Value of 4 in (1) 2 =2 = 0

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.