Lesson 5a - Linear

I x i x wellrememberhowwedefined ourtowork i x y

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Unformatted text preview: ut why is this important? I ( x) I ( x) Well… remember how we defined our to work: [ I ( x) y ]' I ( x) y ' I ( x)a ( x) y y ' a ( x) y b( x) I ( x) y ' I ( x)a ( x) y I ( x)b( x) [ I ( x) y ]' I ( x)b( x) [ I ( x) y]'dx I ( x)b( x)dx I ( x) y I ( x)b( x)dx 1 y I ( x)b( x)dx I ( x) This means the solution to linear first order ODEs are as follows: y 1 I ( x)b( x)dx I ( x) where I ( x) e a ( x )dx Strategy for Solving Linear Equations y ' a ( x) y b( x) Step 1: Solve for I ( x) e a ( x )dx Step 2: Solve I ( x)b( x)dx Note for this integral, we do not need the...
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This note was uploaded on 02/07/2014 for the course MATH 1004 taught by Professor Mark during the Summer '00 term at Carleton CA.

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