CHO P(X, Y) = EXSINY+ 2M2XCOSY; Q(X, Y) =EXCOSY+MX2SINY.TM M D^E'...

166) - 201-bai-tap-phuong-trinh-vi-phan
201-bai-tap-phuong-trinh-vi-phan
166)

Cho

P(x, y) = e

x

siny+ 2m

2

xcosy; Q(x, y) =e

x

cosy+mx

2

siny

.

Tm m d^e'

P(x, y)dx+Q(x, y)dy

la vi ph^an toan ph^an cu'a ham s^o

F(x, y)

nao do va tm ham ^ay.

HD gia’i: ∂P∂x ⇔2xsiny(m

2

+m) = 0

Cho.n

m= 0V m =−1.∂y = ∂Q