Find solutions to the equation dt dX = k (a – X) (ß – X) governing second- order reactions in the two cases a + B and a = ß - In|a–X| In|ß–X|| = kt + C (B-a) (а-В) - In|a-X| (B-a) In(ß–X) : kt (a-ß) - In|a-X| In|ß– X| = kt + C + (B-а) (a-ß) O In|a – X| – In|ß – X| = kt² + C In|a-X| (В-а) In|ß–X| = kt² +C - (а-B)
Find solutions to the equation dt dX = k (a – X) (ß – X) governing second- order reactions in the two cases a + B and a = ß - In|a–X| In|ß–X|| = kt + C (B-a) (а-В) - In|a-X| (B-a) In(ß–X) : kt (a-ß) - In|a-X| In|ß– X| = kt + C + (B-а) (a-ß) O In|a – X| – In|ß – X| = kt² + C In|a-X| (В-а) In|ß–X| = kt² +C - (а-B)
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
Transcribed Image Text:dX
Find solutions to the equation
k (a – X) (ß – X) governing second-
dt
order reactions in the two cases a + B and a = B
– In|a-X|
In|ß–X|
= kt + C
(B-a)
(a-ß)
- In|a-X|
In(ß–X)
kt
-
(ß-a)
(a-ß)
- In|a-X|
(B-a)
In|ß–X|
+
(a-ß)
= kt + C
O In|a – X| – lIn|ß – X| = kt² + C
In|a–X|
In\ß–X| - kt² + C
(B-a)
(a-6)
Transcribed Image Text:Suppose that y (x) = 2x – 3 is a solution to the differential equation.
y' + 3y + 3y = 6x – 3
Find its general solutions.
O yG (x) = e* cos( x)+e* sin(
sin(4-) +
2
2
yG (x) = e* cos(x) +e* sin( x) +
4
4
YG (x) = e¯}*
+e* sin(x)
2
2
O yG (x) = e* + e* + 2x – 3
O ye (x) = e * cos( x) +e* sin(x) + 2x + 3
x ) +2
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