a) Find c_I and c_2 so that the given function will satisfy the prescribed conditions. Write its particular solution. y = ce* + c2xe* + x?e*; У(1) %3D 1, у'(1) %3D —1 || b) Find the general solution of the following differential equation dy = ex-y dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a) Find c_I and c_2 so that the given function
will satisfy the prescribed conditions. Write its
particular solution.
y = ce* + c2xe* + x?e*;
y(1) = 1, y'(1) = -1
b) Find the general solution of the following
differential equation
dy
= ex-y
dx
Transcribed Image Text:a) Find c_I and c_2 so that the given function will satisfy the prescribed conditions. Write its particular solution. y = ce* + c2xe* + x?e*; y(1) = 1, y'(1) = -1 b) Find the general solution of the following differential equation dy = ex-y dx
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