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1. 2y' + y =3x 2.ty' =√1-y²

1. 2y' + y =3x 2.ty' =√1-y²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the general solution to each ODE below by using either separation of variables or finding an integrating factor-whichever is appropriate. Hints/suggestions: • Try to see if it's separable first, or if it can easily be put into the standard linear form. • For each part, you'll need to determine from context which variable is independent and which is dependent. Look where the derivative is! • If you're using method of integrating factors, make sure the coefficient on the derivative term is 1! • Check your answers with WolframAlpha! Ask the Discord if you have questions. 1. 2y' +y = 3x 2.ty' =√1-y²
Transcribed Image Text:Find the general solution to each ODE below by using either separation of variables or finding an integrating factor-whichever is appropriate. Hints/suggestions: • Try to see if it's separable first, or if it can easily be put into the standard linear form. • For each part, you'll need to determine from context which variable is independent and which is dependent. Look where the derivative is! • If you're using method of integrating factors, make sure the coefficient on the derivative term is 1! • Check your answers with WolframAlpha! Ask the Discord if you have questions. 1. 2y' +y = 3x 2.ty' =√1-y²
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