\frac{dy}{dx}=\frac{xy+3x-y-3}{xy-2x+4y-8} Solve it using variable separation

kuCAu

kuCAu

Answered question

2021-02-10

Use variable separation to solve it.

 dy  dx =xy+3xy3xy2x+4y8 
 

Answer & Explanation

Brighton

Brighton

Skilled2021-02-11Added 103 answers

Solution:

 dy  dx =xy+3xy3xy2x+4y8=x(y+3)1(y+3)x(y2)+4(y2) 
=(y+3)(x1)(y2)(x+4) 

Answer:
y2y+3 dy =x1x+4 dx 

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