Solve each of the following initial value problem: `(y^4-2x^3y)dx+(x^4-2x y^3)dy=0,\ y(1)=1`

Explanation

To solve the initial value problem given by the differential equation:

\[ (y^4 - 2x^3y)dx + (x^4 - 2xy^3)dy = 0,\quad y(1) = 1 \]

we will follow these steps:

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