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From the differential equation of the fa...

From the differential equation of the family of parabolas with focus at the origin and axis of symmetry along the x-axis. Find the order and degree of the differential equation.

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To find the order and degree of the differential equation of the family of parabolas with focus at the origin and axis of symmetry along the x-axis, we can follow these steps: ### Step 1: Write the equation of the parabola The equation of a parabola with focus at the origin and axis of symmetry along the x-axis is given by: \[ y^2 = 4a(x) \] where \( a \) is a parameter that defines the specific parabola in the family. ...
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