囧> 做個練習題卡了好多 真挫折
1.(x^2 + y^2 + 2x)dy = 2ydx
-1
Ans: y + 2tan(y/x) = c
-3 2 2
2.x *y'- x *y - y = 0
Ans: y = {2 - x^2 + c*exp[(-x^2)/2]}^-1
3.(2x - 5y + 3)dx = (2x + 4y - 6)dy
Ans: (y - x/4 - 3/4)*(y + 2x - 3)^2 = c
2
4.x *y' + xy - y^2 = x^2
Ans: y = x - x/㏑(cx)
再補一題
5. y' = 2 - 2xy + y^2
Ans: 沒有答案XD
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※ 編輯: t5d 來自: 125.224.80.171 (02/02 11:32)