Find the general solution to the homogeneous differential equation d² y dt² The solution has the form with f₁(t) = 10 dy +89y = 0 dt y = C₁ f₁ (t) + C₂ f2 (1) and f₂ (t) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the general solution to the homogeneous differential equation
d²y dy
10
dt²
dt
The solution has the form
with f₁(t) =
+ 89y = 0
y = C₁ f₁ (t) + C₂ f2 (1)
and f₂ (t) =
Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter your
answers so that the functions are normalized with their values at t = 0 equal to 0 and 1(respectively), and they are
expressed as simply as possible.
Transcribed Image Text:Find the general solution to the homogeneous differential equation d²y dy 10 dt² dt The solution has the form with f₁(t) = + 89y = 0 y = C₁ f₁ (t) + C₂ f2 (1) and f₂ (t) = Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter your answers so that the functions are normalized with their values at t = 0 equal to 0 and 1(respectively), and they are expressed as simply as possible.
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