#1) ++++ #2) Solve the given differential equation by using the undetermined coefficients method. y" +2y' = 2x + 3-e-2x ++++++++++ (20 points) Solve the differential equation by using the variation of parameters method. 3y" — 6y'+6y=(ex).sec(x) (20 points) #3) Solve this Bernoulli's equation. dy/dx = y(xy³ - 1) (20 points)

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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#1)
++++
#2)
Solve the given differential equation by using the undetermined coefficients method.
y" +2y' = 2x + 3-e-2x
++++++++++
(20 points)
Solve the differential equation by using the variation of parameters method.
3y" — 6y'+6y=(ex).sec(x)
(20 points)
#3) Solve this Bernoulli's equation.
dy/dx = y(xy³ - 1)
(20 points)
Transcribed Image Text:#1) ++++ #2) Solve the given differential equation by using the undetermined coefficients method. y" +2y' = 2x + 3-e-2x ++++++++++ (20 points) Solve the differential equation by using the variation of parameters method. 3y" — 6y'+6y=(ex).sec(x) (20 points) #3) Solve this Bernoulli's equation. dy/dx = y(xy³ - 1) (20 points)
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