送交者: lala 于 June 01, 2003 14:51:51:
回答: lala同学：看在宋美龄的份上，再拉兄弟一把 由 淇淇 于 June 01, 2003 04:53:16:
From z^3-k2=k3*t we get
dt = (3/k_3)(z^2) dz
Let w = y^{3}. Then y = w^{1/3} and
dw = ((3k_1)/(k_3))(w^{1/3})z)dz - ((3k_1)/(k_3)) z^{2} dz
= C (w^{1/3})z)dz - C z^{2} dz
where C = 3k_1)/(k_3). From
dw = C w^{1/3})z)dz (*)
we get
w = ( (C/2) z^{2} + C_{0} )^{3/2}
For how to find the solution for the equation
dw = C (w^{1/3})z)dz - C z^{2} dz (**)
you should go to some book to see if there is any formula
related to (*) and (**).