ИДЗ 12.2 – Вариант 2. Решения Рябушко А.П.

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.
4.2. f (x) = x3arctgx

5. Calculate the approximate value specified with a given degree of accuracy α, using power series expansion appropriately chosen function
5.2. 5√250, 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)
7.2. y ´= x2y2 + 1, y (0) = 1

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.
8.2. y ´= xy + ln (y + x), y (1) = 0, k = 5

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