 # IDZ 12.2 - Option 17. Decisions Ryabushko AP

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1. Find the area of convergence of the series. (1-3)

4. Arrange the function f (x) in a Taylor series in the neighborhood of this point x0. Find the area of convergence of the series obtained for this function.
4.17. f (x) = 1 / x, x0 = -2

5. Calculate the approximate value specified with a given degree of accuracy α, using power series expansion appropriately chosen function
5.17. sin 10, α = 0,0001

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)
7.17. y ´= x2 + xy + y2, y (0) = 0.5

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.
8.17. y ´´ = y´2 + xy, y (0) = 4, y ´(0) = -2, k = 5 