What is the answer to solvefor y,x^2y+2x^3y=x+y ?

The answer to solvefor y,x^2y+2x^3y=x+y is y= x/(x^2+2x^3-1);\quad x\ne 0.65729…

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solvefor y,x^2y+2x^3y=x+y

solve for

y, x^{2} y + 2 x^{3} y = x + y

y = \frac{x}{x ^{2} + 2 x ^{3} - 1}; x \neq = 0.65729 \dots

Solution steps

x^{2} y + 2 x^{3} y = x + y

Move

y

to the left side

x^{2} y + 2 x^{3} y - y = x

Factor

x^{2} y + 2 x^{3} y - y : y (x^{2} + 2 x^{3} - 1)

y (x^{2} + 2 x^{3} - 1) = x

Divide both sides by

x^{2} + 2 x^{3} - 1; x \neq = 0.65729 \dots

y = \frac{x}{x ^{2} + 2 x ^{3} - 1}; x \neq = 0.65729 \dots

3 y - 120 = 90

10 x + 1 = 5 x + 29

b, A = 12 bh

19 + \frac{x + 3}{2} - 14 = 1

\frac{5 x + 3}{3} - \frac{x + 12}{6} = 2 x

What is the answer to solvefor y,x^2y+2x^3y=x+y ?
The answer to solvefor y,x^2y+2x^3y=x+y is y= x/(x^2+2x^3-1);\quad x\ne 0.65729…