GIA'I PHU.O.NG TRNH

44)

Gia'i phu.o.ng trnh:

^{(x+ 1)(y}

⁰

^+y

²

^{) = −y}HD gia’i:

Xet

^{y6= 0,}

bi^en d^o'i phu.o.ng trnh v^e da.ng

^y

⁰

⁺ _{x+ 1}^{1 .y =−y}

²

D - a.t

¹_y ^{=z ⇒y}

⁰

⁼⁻_z^z

²

⁰

^=−y

²

^z

⁰

du.a phu.o.ng trnh v^e

^z

⁰

^{− 1}x+ 1.z = 1.

Nghi^e.m t^o'ng quat cu'a phu.o.ng trnh thu^an nh^at:

^{z =C}

¹

^{(x+ 1)}

bi^en thi^en hang s^o

C

₁

= ln|x+ 1|+ε.

V^a.y nghi^e.m:

^{z = (x+ 1)(ln|x+ 1|+ε)}

ngoai ra

^{y = 0}

cu~ng la nghi^e.m.

V^a.y nghi^e.m t^o'ng quat:

^y= _{(x+ 1)(ln}¹_{|x+ 1|+ε)}

va

^{y= 0}

nghi^e.m k di..