GIA'I PHU.O.NG TRNH
1)
Gia'i phu.o.ng trnh:
2xy0
y” =y02
−1HD gia’i:D - a.t
y0
=p: 2xpp0
=p2
−1Vo.i
x(p2
−1)6= 0ta co:
2pdpC1
x+ 1p2
−1 = dxx ⇔p2
−1 =C1
⇔p=±√p= dyC1
+ 1 ⇒y= 2dx =√3C1
(C1
x+ 1)3
2
+C2
0
y” =y02
−1HD gia’i:0
=p: 2xpp0
=p2
−12
−1)6= 01
x+ 1p2
−1 = dxx ⇔p2
−1 =C1
⇔p=±√p= dyC1
+ 1 ⇒y= 2dx =√3C1
(C1
x+ 1)3
2
+C2