Find the general solution of the differential equation. (use c for the constant of integration.) dr dt = 8et 1 − e2t

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17-02-2018
Mathematics

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Find the general solution of the differential equation. (use c for the constant of integration.) dr dt = 8et 1 − e2t

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evgeniylevi evgeniylevi · Answer 1 · 2018-02-21T13:41:34+01:00

evgeniylevi evgeniylevi

21-02-2018

Try this solution:
if given dr/dt=8e^t -e^(2t), then
[tex] \frac{dr}{dt}=8e^t-e^{2t}; \ \int\ {dr} \, =\int\ (8e^t-e^{2t})dt; \ r=8e^t- \frac{1}{2}e^{2t}+C.[/tex]

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