Find general solutions of these ODES, and particular solutions if initia conditions are given. Show the details of your work. (a) y' +xe-x*/2 = 0 (b) e**yy' = 3x (c) y' = 1+ 4y², y(2) = 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find general solutions of these ODES, and particular solutions if initial
conditions are given. Show the details of your work.
(a) y' +xe-x³/2 = 0
(b) e*+yy' = 3x
%3D
(c) y' = 1+ 4y?,
y(2) = 0
Transcribed Image Text:Find general solutions of these ODES, and particular solutions if initial conditions are given. Show the details of your work. (a) y' +xe-x³/2 = 0 (b) e*+yy' = 3x %3D (c) y' = 1+ 4y?, y(2) = 0
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All given differential equations are variable separable differential equation of first order we can solve them by doing the separation of variable and integration.

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