Differential Equations: Homogeneous D.E. Solve the following: (x^3+y^3)dx = (2xy^2)dy?

Because you do not know enough mathematics. Actually, it is not impossible. It is a different order of difficulty from what you are apparently acquainted with, but that does not make it impossble.

When you learn more, you will understand. This is not the place to get that instruction.

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