(a) Solve = (2² – 1) t. Use C for the arbitrary constant. Use exp for the exponential function. Hint: Expand -integrand as partial fractions. Be careful with absolute value a (t) (b) What is the solution with (0) = 13/11 (which is about 1.18181818182). a (t) (c) What is the t-interval on which your solution in part (b) exists? Use standard interval notation: for example (3,7] to mean 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(a) Solve = (22 - 1) t.
Use C for the arbitrary constant. Use exp for the exponential function.
Hint: Expand -integrand as partial fractions. Be careful with absolute values.
x (t)
(b) What is the solution with a (0) = 13/11 (which is about 1.18181818182).
æ (t) =
(c) What is the t-interval on which your solution in part (b) exists?
Use standard interval notation: for example (3,7] to mean 3 <t<7.
Transcribed Image Text:(a) Solve = (22 - 1) t. Use C for the arbitrary constant. Use exp for the exponential function. Hint: Expand -integrand as partial fractions. Be careful with absolute values. x (t) (b) What is the solution with a (0) = 13/11 (which is about 1.18181818182). æ (t) = (c) What is the t-interval on which your solution in part (b) exists? Use standard interval notation: for example (3,7] to mean 3 <t<7.
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