dy/dx=(sin根号下x)/(y根号下x)求通解

问题描述:

dy/dx=(sin根号下x)/(y根号下x)求通解

dy/dx=sin(x^1/2)/y*x^(1/2)
1/ydy=sin(x^1/2)/x^(1/2)dx=2d(sin(x^1/2))
lny=2sin(x^1/2)+c
y=c1*e^(2sin(x^1/2)) c1>0