Question #49f90

1 Answer
Truong-Son N.
Jun 9, 2015

With this, I'm assuming you are solving for #(dy)/(dx)#.

#(5x + 4y)dx + (4x - 8y^3)dy = 0#

Divide by #dx#:
#5x + 4y + ((dy)/(dx))(4x - 8y^3) = 0#

Simple algebra from here:
#5x + 4y = - ((dy)/(dx))(4x - 8y^3)#

#5x + 4y = ((dy)/(dx))(8y^3 - 4x)#

#(dy)/(dx) = (5x + 4y)/(8y^3 - 4x)#

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