求y'=cos5x/(2y+e*y)的通解

问题描述:

求y'=cos5x/(2y+e*y)的通解

(2y+e^y)dy=cos5xdx
y^2+e^y=1/5*sin5x+C解答清晰点,谢谢啦。。。dy/dx=cos5x/(2y+e^y)(2y+e^y)dy=cos5xdx∫(2y+e^y)dy=∫cos5xdxy^2+e^y=1/5*sin5x+C