(a) Solve the initial value problem (x-1)-2x y = 13(x-1)², y(2) = 0 (b) Write the largest interval (a, b) of x on which the solution is defined. If either a or b is infinite, type either infinity, or infinity. Enter the values of a and b (in that order) into the answer box below, separated with a comma.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 35E
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ANS: 13*(x^(2) -1)ln((x+1) / 3)

ANS: -1, infinity

(a) Solve the initial value problem
2x
(x - 1)y' - 2y = 13(x-1)², y(2) = 0
x+1
(b) Write the largest interval (a, b) of x on which the solution is defined. If either a or b is infinite, type either -
infinity, or infinity.
Enter the values of a and b (in that order) into the answer box below, separated with a comma.
Transcribed Image Text:(a) Solve the initial value problem 2x (x - 1)y' - 2y = 13(x-1)², y(2) = 0 x+1 (b) Write the largest interval (a, b) of x on which the solution is defined. If either a or b is infinite, type either - infinity, or infinity. Enter the values of a and b (in that order) into the answer box below, separated with a comma.
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