[理工] [工數] ODE!!~大家幫幫忙看一下~~

[topee (eason)]

題目:

find the solution of the equation

[ e^xsiny - 2x ]dx + [ e^xcosy + 1 ]dy = 0

siny de^x - e^x dsiny -2x dx + dy = 0

d(-e^x siny) - 2xdx +dy = 0

y = c + x^2 + e^xsiny


沒解答~ 請問這樣算對嗎?

--
※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 125.228.236.166
→ kagato:e^xsiny -x^2 + y = c
推 shinyhaung:d(e^x siny)是正的吧
→ kagato:這有點明顯正和=  =+
推 mdpming:恩 同2樓..
→ topee:cos -> -sin  不是等於負的嗎?
→ mdpming:那是微分 ...
→ mdpming:你現在是積分...
推 ricky764:dsinx = cosx dx
→ topee:那 sin 積分等於 ??
→ shinyhaung:sin 積分等於 -cos
→ topee:我搞混了... 感謝...
推 squallting:把你算的答案全微分 看會不會回到第一行就知道對不對了