IDZ 12.2 - Option 7. Decisions Ryabushko AP

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

• Arrange the Maclaurin function f (x). Specify the region of convergence of the series obtained for this function.

4.7. f (x) = e3x

• Calculate the approximate value specified with a given degree of accuracy α, using power series expansion appropriately chosen function

5.7. ch 2, α = 0,0001

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

• Find a power series expansion in powers of x solving the differential equation (record the first three non-zero, a member of this expansion)

7.7. y '= 2cosx - xy2, y (0) = 1

• 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.

8.7. y '' '= y' '+ y'2 + y3 + xy (0) = 1, y' (0) = 2, y '' (0) = 0,5, k = 6

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