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In a chemical reaction, a compound X is formed from two compounds Y and Z. The masses in grams of X, Y and Z present at time t seconds after the start of the reaction are x, 10 – x and 20 – x respectively. At any time the rate of formation of X is proportional to the product of the masses of Y and Z present at the time. When t = 0, x = 0 and\(\frac{dx}{dt}\) = 2.

 

 

 

 

\(\frac{dx}{dt}=0.01(10-x)(20-x)\)

 

Find an expression of x in terms of t

(I.e. x(t)=...)

 Jul 8, 2020
edited by Guest  Jul 8, 2020
 #1
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Don't know much about "differntial equations", but go to WolframAlpha and enter your equation as you have it have written. After you enter it, put a comma "," at end and say "Find x in terms of t". It will give you an answer. Good luck.

 Jul 8, 2020
 #2
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As follows:

 

 Jul 8, 2020
 #3
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Thanks Alan!

answer is indeed correct! 

But how did you isolate x?

(The last step)

Guest Jul 9, 2020
edited by Guest  Jul 9, 2020
edited by Guest  Jul 9, 2020
 #4
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Like so:

 

Alan  Jul 9, 2020
 #5
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thank you again :) 

Guest Jul 9, 2020

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