In Problems y = c 1 e 3x + c 2 e x 2x is a
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In Problems y = c1e3x + c2ex 2x is a two parameter family of the second-order DE y'' 2y' 3y = 6x + 4. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
1. y (0) = 0, y'(0) = 0
2. y (0) = 1, y'(0) = 3
3. y (1) = 4, y'(1) = -2
4. y (1) = 0, y'(1) = 1
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1 If y0 0 and y0 0 then c 1 c 2 0 3c 1 c 2 2 0 So c 1 12 and c 2 12 Thus y 12 e 3x half e x ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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