Question 1 dV Solve the following differential equation: de Vcote + V³cosece

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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Question 1
dV
Solve the following differential equation:
= Vcot0 + V³cosece
de
[10]
Question 2
Find the particular solution of the following using the method of undetermined coefficients:
d?s
6+ 8s = 4e2t where t 0,s = 0 and
ds
ds
= 10
dt
[15]
%3D
dt2
dt
Question 3
Find the particular solution of
dx?
d²y
-- 2 + 5y = e-3x given that y(0) = 0 and y'(0) = 0
dx
using the method of undetermined coefficients.
[15]
Question 4
Find the general solution of the following differential equation:
+ P? tant = P4sec4 t
dt
[10]
Transcribed Image Text:Question 1 dV Solve the following differential equation: = Vcot0 + V³cosece de [10] Question 2 Find the particular solution of the following using the method of undetermined coefficients: d?s 6+ 8s = 4e2t where t 0,s = 0 and ds ds = 10 dt [15] %3D dt2 dt Question 3 Find the particular solution of dx? d²y -- 2 + 5y = e-3x given that y(0) = 0 and y'(0) = 0 dx using the method of undetermined coefficients. [15] Question 4 Find the general solution of the following differential equation: + P? tant = P4sec4 t dt [10]
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