es/10363/quizzes/83021/take/questions/1366508 y=2 3. %3D 4 ANI7 19 17 139 -2t 81 ANH O LINE 14 LINE 4 LINE 1 OLINE 3 O LINE 16 O LINE 13 OLINE 9 O LINE 11 O LINE 7 * 00 %3D 1/take/questlons/1366508 Given below is a complete solution of differential equations. Identify all LINES in the solution which contains any form of error. 2. – 2t -2 UNE 2 let v= LINE 3 HNE 4 4て- |3e-2t,e-st = %3D a 421- ANN 30 つ+ 40- S. LINE II @ F5 F4 08 & V % $ 9 3

es/10363/quizzes/83021/take/questions/1366508 y=2 3. %3D 4 ANI7 19 17 139 -2t 81 ANH O LINE 14 LINE 4 LINE 1 OLINE 3 O LINE 16 O LINE 13 OLINE 9 O LINE 11 O LINE 7 * 00 %3D 1/take/questlons/1366508 Given below is a complete solution of differential equations. Identify all LINES in the solution which contains any form of error. 2. – 2t -2 UNE 2 let v= LINE 3 HNE 4 4て- |3e-2t,e-st = %3D a 421- ANN 30 つ+ 40- S. LINE II @ F5 F4 08 & V % $ 9 3

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

* 00
%3D
1/take/questlons/1366508
Given below is a complete solution of differential equations. Identify all LINES in the solution which
contains any form of error.
2.
– 2t
-2
UNE 2
let v=
LINE 3
HNE 4
4て-
|3e-2t,e-st
=
%3D
a
421-
ANN
30
つ+ 40-
S.
LINE II @
F5
F4
08
&
V
%
$
9
3

Expert Solution

Step 1

The technique to solve an ordinary first-order linear differential equation includes the determination of integrating factor. The multiplication of the integrating factor makes the equation exact. The general way to write a first-order linear equation is $\frac{d y}{d t} + P y = Q$ .

Here, $P$ and $Q$ are either functions of $t$ or constant. The integrating factor is $μ = e^{\int p d t}$ .

Sometimes, the equation is in the form $\frac{d y}{d t} + P y = Q$ .