Ready solution of the problem. The sorcerer of Arutyunov. Task number 452.

451 - 460. Find the first three nonzero expansion terms in the power series of the solution y = y (x) of the differential equation y '= f (x, y) satisfying the initial condition y (0) = y0.

452. y '= ex + y2; Y (0) = 0.

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)