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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
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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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: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)
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
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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