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Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.
Asked by Pratheema Last Modified
Answer The equation of the parabola having the vertex at origin and the axis along the positive y-axis is:
Differentiating equation (1) with respect to x, we get:
Dividing equation (2) by equation (1), we get:
This is the required differential equation.
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