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dr = a(p- 1)(q-), dt

dr = a(p- 1)(q-), dt

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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A second-order chemical reaction involves the interaction of onc molccule of a substance P with one molecule of another substance Q to produce one molecule of another substance X. Suppose that p and q are the initial concentrations of P and Q and let r(t) be the concentration of X at time t. Then p- I(t) and q -r(t) are the concentrations of P and Q at time t, and the rate at which the reaction occurs is given by the equation dr *(I - b)(I – d)o= dt where a is a positive constant. Solve the initial value problem with r(0) = 0 assuming p # q. Answ: r(t) = Pq(e®(q-p)t _1 qea(q-p)t-p , you may nced to manipulate your answer to get this.
Transcribed Image Text:A second-order chemical reaction involves the interaction of onc molccule of a substance P with one molecule of another substance Q to produce one molecule of another substance X. Suppose that p and q are the initial concentrations of P and Q and let r(t) be the concentration of X at time t. Then p- I(t) and q -r(t) are the concentrations of P and Q at time t, and the rate at which the reaction occurs is given by the equation dr *(I - b)(I – d)o= dt where a is a positive constant. Solve the initial value problem with r(0) = 0 assuming p # q. Answ: r(t) = Pq(e®(q-p)t _1 qea(q-p)t-p , you may nced to manipulate your answer to get this.
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