1 Differential Equations
The degree and order of the differential equation of the family of all parabolas whose axis is x-axis are respectively-
1) 2, 1 2) 1, 2 3) 3, 2 4) 2, 3
SOLUTION
Equation is y2 = 4a(x – h)
differentiate we get
2y dy/dx = 4a
Again differentiate then
yd2y/dx2 + (dy/dx)2 =0
Clearly degree 1 and order 2
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