Toronto Math Forum
MAT2442019F => MAT244Test & Quizzes => Quiz1 => Topic started by: Jiayue Wu on September 27, 2019, 02:49:00 PM

;D Welcome to discuss
Slove $$y'=ysinx$$
it is seperable. i.e. $$\frac{dy}{dx}=y*sinx$$
rearrange it. $$\frac{dy}{y}=sinx*dx$$
integrating both side. $$Iny=cosx+C_{1}$$
Finally we get: $$y = C*e^{cosx}$$where$$ C > 0$$