IDZ 12.2 - Option 15. Decisions Ryabushko AP

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IDZ 12.2 - Option 15. Decisions Ryabushko AP


1. Find the area of convergence of the series. (1-3)
 
4. Arrange the Maclaurin function f (x). Specify the region of convergence of the series obtained for this function.
4.15. f (x) = xcos√x

5. Calculate the approximate value specified with a given degree of accuracy α, using power series expansion appropriately chosen function
5.15. 6√738, α = 0,001

6. I Am using the expansion of the integrand in a power series, calculate the definite integral said up to 0,001.

7. Find a power series expansion in powers of x solving the differential equation (record the first three non-zero, a member of this expansion)
7.15. y ´= ycosx + 2cosy, y (0) = 0

8. The method of successive differentiation to find the first k terms of the expansion in a power series solutions of differential equations at the specified initial conditions.
8.15. y ´´ = y ´/ y - 1 / x, y (1) = 1, y´ (1) = 0, k = 4

Additional information

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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