2. Find the general solution of each of the following homogeneous equations- If an initial value is given, also solve the initial value problem. a.) t²y = y² + yt +t², y(1) = 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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2. Find the general solution of each of the following homogeneous equations.
If an initial value is given, also solve the initial value problem.
a.) ty = y? + yt + t², y(1) = 1
Transcribed Image Text:2. Find the general solution of each of the following homogeneous equations. If an initial value is given, also solve the initial value problem. a.) ty = y? + yt + t², y(1) = 1
b.) y = -4ut+6f ,
y²–4yt+6t²
y(2) =
c.) æy' = y+ Vx²
· y?
-
Transcribed Image Text:b.) y = -4ut+6f , y²–4yt+6t² y(2) = c.) æy' = y+ Vx² · y? -
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