Math, asked by vinukondasamueljohn, 9 months ago

(y-xy^2)dx-(x+x^2y)dy=0​

Answers

Answered by Anonymous
2

Step-by-step explanation:

ANSWER

⇒x(y

2

+1)dx+y(x

2

+1)dy=0

⇒(

x

2

+1

2x

)dx+(

y

2

+1

2y

)dy=0

let

t=x

2

+1>

⇒dt=2xdx

k=y

2

+1

⇒dk=2ydy

⇒∫

t

dt

+∫

k

dk

=log c

⇒kt=c

⇒(x

2

+1)(y

2

+1)=c

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thanks my answer

Answered by samruddhipandit
7

❤Hope it helps u Mark as brainliest if it helps u ❤

ANSWER

⇒x(y 2 +1)dx+y(x 2 +1)dy=0

⇒( x 2 +12x )dx+( y 2 +12y )dy=0

let t=x 2 +1>

⇒dt=2xdxk=y 2 +1

⇒dk=2ydy

⇒∫tdt +∫ kdk =log c

⇒kt=c

⇒(x 2 +1)(y 2 +1)=c

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