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IDZ 12.2 - Option 21. Decisions Ryabushko AP
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Uploaded: 22.08.2014
Content: 21v-idz12.2.doc 210 kB
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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.
4.21. f (x) = 1 / (x-3) 2, x0 = 1
5. Calculate the approximate value specified with a given degree of accuracy α, using power series expansion appropriately chosen function
5.21. lg7, 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)
7.21. y ´= xsinx - y2, 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.
8.21. y ´´ = x2 + y2, y (-1) = 2, y ´(- 1) = 0,5, k = 4
Additional information
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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