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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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Question

solve problem number 6 only

Solve the given ODE using the power series method.
y'' + xy' + 2y = 0
4.
Obtain the recurrence relation.
as
as+2 =
s +1
as
Oas+2
s + 2
as
Oas+2 -
s + 2
as
Oas+2
s +1
5.
Determine the general solution. Use up to the 5th-degree term of the
solution.
1
1
+
1
1
y = ao 1
+ a1 x
3
15
--)
= ao 1
+ a1 ( x
...
...
1
1
x +
1
1
x* +
+ a1( x +
3
y = ao(1+
+
...
...
15
1
y = ao(1+x² +x* + ...
+ a1 ( x +
1
+
-x° +
...
3
6.
Solve for y at x = 2 given the boundary conditions x = 0, y = 1, and y' =
2. Use up to the 5th-degree term of the solution. Write your answer in
three decimal places.
Time remaining: 01:33
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