notes 3-3 - B cos( t ) can be written as R sin( t + ),...

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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( t ) can be written as R sin( t + ), where R = A 2 + B 2 , cos = A/R, and sin = B/R. Both trigonometric conditions are needed to completely determine . HOMEWORK: SECTION 3.3...
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notes 3-3 - B cos( t ) can be written as R sin( t + ),...

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