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DE question

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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

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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
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As follows:

Jul 8, 2020
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Thanks Alan!

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
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+30593
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Like so:

Alan  Jul 9, 2020
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thank you again :)

Guest Jul 9, 2020