C. dx + 3y = f(x), y(0) = 1, and y(x) be continous everywhere where f(x) = {33 if 0 < x <1 -3, if x≥1 4. Use Linear 1st order differential equations solution method to solve the following problems and determine whether there is any transient term in the general solution. a. (x + 1) ax + y = ln (x),, x € 1 = (0,∞) dx b. tỷ +y=et; y(1)=2, t € I = (0,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I need help with this problem and an explanation for the solution described below. (Differential Equations)

C.
dx
+ 3y = f(x), y(0) = 1, and y(x) be continous everywhere
where f(x) = {33
if 0 < x <1
-3,
if x≥1
Transcribed Image Text:C. dx + 3y = f(x), y(0) = 1, and y(x) be continous everywhere where f(x) = {33 if 0 < x <1 -3, if x≥1
4. Use Linear 1st order differential equations solution method to solve the following problems and determine
whether there is any transient term in the general solution.
a. (x + 1) ax + y = ln (x),, x € 1 = (0,∞)
dx
b. tỷ +y=et;
y(1)=2,
t € I = (0,
Transcribed Image Text:4. Use Linear 1st order differential equations solution method to solve the following problems and determine whether there is any transient term in the general solution. a. (x + 1) ax + y = ln (x),, x € 1 = (0,∞) dx b. tỷ +y=et; y(1)=2, t € I = (0,
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