1. Use separation of variables to find an explicit form of the solution to the following ODES. Do not forget a constant of integration in your computation. Also, solve for the unknown function explicitly if possible. a. b. C. dy dt dy dt e. dy dt te³t² 3y 2t + 1 d. u'+u+ 1 = 0. dy dt 2t-y + cos 5t. 4t + 1 y + 1 f. y' = 6t(2 + y)².
1. Use separation of variables to find an explicit form of the solution to the following ODES. Do not forget a constant of integration in your computation. Also, solve for the unknown function explicitly if possible. a. b. C. dy dt dy dt e. dy dt te³t² 3y 2t + 1 d. u'+u+ 1 = 0. dy dt 2t-y + cos 5t. 4t + 1 y + 1 f. y' = 6t(2 + y)².
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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