Question

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PROPER ANSWER​

Answer 1

Answer:-

$\bf \implies \: (1 + {x}^{3} ) \frac{dy}{dx} + {6x}^{2} y = 1 + {x}^{2}$

Divide by (1+x³)

$\bf \implies \frac{dy}{dx} + \frac{ {6x}^{2}y }{1 + {x}^{3} } = \frac{1 + {x}^{2} }{1 + {x}^{3} }$

★ Refer the attachment for full explanation!!!

Answer 2

Answer:

$y=3x+4$

                   ||     Swap sides so that all variable terms are on the left hand side.

$3x+4=y$

                  ||  Subtract 4 from both sides.

$3x=y-4$

                   ||   Divide both sides by 3.

$3x/3=y-4/3$

                   || Dividing by 3 undoes the multiplication by 3.

$x=y-4/3$

|| Solving for y        

                                    $y=3x+4$