Reshebnik Arutyunov Yu N458 Setting Higher Mathematics

Reshebnik Arutyunov Yu N458 Setting Higher Mathematics

Ready solution of the problem. The sorcerer of Arutyunov. Task number 458.

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.

458. y ´= sinx + 0.5y2; Y (0) = 1.

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