ty" – y' = 2t2, y(0) = 0 y(t) =
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Question
Reduce the given differential equation to a linear first-order DE in the transformed function Y(s) = ℒ {y(t)}. Solve the first-order DE for Y(s) and then find y(t) = ℒ−1{Y(s)}.
![ty" – y' = 2t2, y(0) = 0
y(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecc8a722-83bf-4c9d-9c11-bcdd67ba8350%2F21948592-6d89-4d22-9ac3-ec9ffd0875dc%2Fn3w54l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ty" – y' = 2t2, y(0) = 0
y(t) =
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