Differential EquationHard
Question
The equation of the curve satisfying the differential equation y2 (x2 + 1) = 2xy1 passing through the point
(0, 1) and having slope of tangnet at x = 0 as 3, is
(0, 1) and having slope of tangnet at x = 0 as 3, is
Options
A.y = x2 + 3x + 2y = x2 + 3x + 2
B.y2 = x2 + 3x + 1
C.y = x3 + 3x + 1
D.none of these
Solution
(x2 + 1) = 2x 
⇒
⇒ ln
= ln (x2 + 1) + ln c ⇒
= c(x2 + 1) ⇒ c = 3 as at x = 0, 
= 3⇒
= 3(x2 + 1) dx ⇒ y = x3 + 3x + 1
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