notes 3-3

# notes 3-3 - B cos αt can be written as R sin αt δ where...

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SECTION 3.3 COMPLEX ROOTS EXAMPLE. Solve y 00 + 6 y 0 + 13 y = 0. What in the world is e βi ? EXAMPLE. Write the expression 5 3+2 i in the form a + ib .

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Now, returning to our diﬀ eq problem, how do we get rid of the i ’s? EXAMPLE. Solve 4 y 00 - 8 y 0 + 5 y = 0. NOTE. A sin( αt ) +
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Unformatted text preview: B cos( αt ) can be written as R sin( αt + δ ), where R = √ A 2 + B 2 , cos δ = A/R, and sin δ = B/R. Both trigonometric conditions are needed to completely determine δ . HOMEWORK: SECTION 3.3...
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## This note was uploaded on 05/19/2010 for the course M 427K taught by Professor Fonken during the Spring '08 term at University of Texas.

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notes 3-3 - B cos αt can be written as R sin αt δ where...

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