Problem 1. Verify that (t) = 2et (t − 2) + 2e¹⁄2 is a solution to the initial value problem y' = te² + 1/y y(0) = -2 Please note that you do not need to solve the ODE itself-just verify that the solution is, in fact, a solution.
Problem 1. Verify that (t) = 2et (t − 2) + 2e¹⁄2 is a solution to the initial value problem y' = te² + 1/y y(0) = -2 Please note that you do not need to solve the ODE itself-just verify that the solution is, in fact, a solution.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
Question
Please solve it
Transcribed Image Text:Problem 1.
Verify that (t) = 2et (t − 2) + 2e¹⁄2 is a solution to the initial value problem
y' = te² + 1/y
y(0) = -2
Please note that you do not need to solve the ODE itself-just verify that the solution
is, in fact, a solution.
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