the solution of the diffrentatil equation dy/dx=2xy^2 for which y=-1 when x=1 is
a. y = -1/x^2
b. ln y ^2 = x^2 - 1
c. y^3/3 = x^2 - 4/3
d. y = -1/x
e. none
2007-04-14 18:03:48 · 3 answers · asked by Chitter 1 in Science & Mathematics ➔ Mathematics
dy/y^2=2xdx
take integral of both sides
y= -1/( x^2)+C
-1=-1/1 +C
C=0
y=-1/(x^2)
answer :
a. y = -1/x^2
2007-04-14 18:17:14 · answer #1 · answered by iyiogrenci 6 · 0⤊ 0⤋
AP stat is more complicated to comprehend notwithstanding the calculations are uncomplicated and easy AP Calc is uncomplicated to comprehend yet calculations are a lot harder and far extra tedious...and also you frequently won't be able to even get right solutions which incorporates integrating e^(-(x^2))...you eventually end up using estimations (i trust it really is a million/ sqrt(pi) for the ex I suggested...perhaps thoroughly incorrect on the estimation tho
2016-12-04 01:29:20 · answer #2 · answered by ? 4 · 0⤊ 0⤋
a. y = -1/x^2
--------
Reason:
y' = 2/x^3 = 2x/x^4 = 2xy^2, for which y=-1 when x=1.
2007-04-14 18:08:00 · answer #3 · answered by sahsjing 7 · 0⤊ 0⤋