求数学大神指教一下,感激不尽
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(1)
y= 1+xe^y
dy = e^y.dx + xe^y.dy
(1-xe^y) dy =e^y.dx
dy =[e^y/(1-xe^y)].dx
(2)
x^2/a^2+y^2/b^2=1
(2x/a^2)dx +(2y/b^2) dy =0
dy = -(x/y)(b^2/a^2) dx
(3)
y=x+(1/2)siny
dy = dx +(1/2)cosy dy
2dy = 2dx +cosy dy
(2-cosy) dy =2dx
dy=[2/(2-cosy)]dx
(4)
y^2 -x =arccosy
2ydy -dx = -[1/√(1-y^2) ] dy
2y.√(1-y^2) dy - √(1-y^2) dx = -dy
[2y.√(1-y^2) +1] dy =√(1-y^2) dx
dy =√(1-y^2) dx/[2y.√(1-y^2) +1]
y= 1+xe^y
dy = e^y.dx + xe^y.dy
(1-xe^y) dy =e^y.dx
dy =[e^y/(1-xe^y)].dx
(2)
x^2/a^2+y^2/b^2=1
(2x/a^2)dx +(2y/b^2) dy =0
dy = -(x/y)(b^2/a^2) dx
(3)
y=x+(1/2)siny
dy = dx +(1/2)cosy dy
2dy = 2dx +cosy dy
(2-cosy) dy =2dx
dy=[2/(2-cosy)]dx
(4)
y^2 -x =arccosy
2ydy -dx = -[1/√(1-y^2) ] dy
2y.√(1-y^2) dy - √(1-y^2) dx = -dy
[2y.√(1-y^2) +1] dy =√(1-y^2) dx
dy =√(1-y^2) dx/[2y.√(1-y^2) +1]
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