Consider the initial value problem Suppose we know that α= B = 3t ÿ' " = [2 4 31] [2t + a 3t² +B] is the unique solution to this initial value problem. Find ģ(t) and the constants a and B. g(t) = ÿ+ģ(t), ÿ(¹) = [2]. y(t) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
Question
Consider the initial value problem
Suppose we know that
α=
B=
||
ÿ'
g(t) =
||
=
2t + a
3t² + B.
is the unique solution to this initial value problem. Find g(t) and the constants a and B.
[24 31]
ÿ + ģ(t),
ÿ(t) =
ÿ(1) =
=
- [₁1].
=
Transcribed Image Text:Consider the initial value problem Suppose we know that α= B= || ÿ' g(t) = || = 2t + a 3t² + B. is the unique solution to this initial value problem. Find g(t) and the constants a and B. [24 31] ÿ + ģ(t), ÿ(t) = ÿ(1) = = - [₁1]. =
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