Differential EquationHard
Question
The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point (4, 3). The equation of the curve is
Options
A.x2 = y + 5
B.y2 = x - 5
C.y2 = x + 5
D.x2 = y + 5
Solution
⇒ y2 = x + c ∵ (4, 3) satisfies
⇒ 9 = 4 + c ⇒ c = 5
∴ y2 = x + 5
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