1. Solve the first-order linear differential equations. dy a) xx x+2y=1-¹, x > 0 dx b) = xy' + 3y= dy c) x +2y = 1- dx d) 2y' = ex/² + y e) xy' - y = 2x ln x sin x x2,X>0 x
1. Solve the first-order linear differential equations. dy a) xx x+2y=1-¹, x > 0 dx b) = xy' + 3y= dy c) x +2y = 1- dx d) 2y' = ex/² + y e) xy' - y = 2x ln x sin x x2,X>0 x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1.
Solve the first-order linear differential equations.
a) xảy
dx
b)
x+2y=
xy' + 3y =
=
1-¹, x > 0
=,
sin
Sim2 x, x>0
x2
c) x +2y= 1-
dy
dx
d) 2y = ex/² + y
e) xy' y = 2x ln x
x
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