To get a feel for higher order ODEs, show that the given functions are solutions and form a basis on any interval. Use Wronskians. In Prob. 6, x > 0, e x , e -x , e 2x , y' - 2y - y' + 2y = 0
Chapter 3, P R O B L E M S E T 3 . 1 #2
To get a feel for higher order ODEs, show that the given functions are solutions and form a basis on any interval. Use Wronskians. In Prob. 6, x > 0,
ex, e-x, e2x, y"' - 2y" - y' + 2y = 0
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(x sin x)(x cos x) + (y sin y)(y cos y) = 0 W (x, y) = -2sin(3θ/4) sin(θ/4), θ > 0. W\' (x, y)…View the full answer
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