Applied Mathematics 2270A/B Chapter Notes - Chapter 2.2: Exponential Growth, Seny, Delaware Route 1
9 Dec 2022
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22 22 doing itter ode + linear & non-linear. Not yz = cosby) g dy an hey ) gcx) sky , dy = f goes an integrated w/ respect to a dog = k k k = acct) K = constant f doeet ) = kfdt ln bet = Natural growth / exponential growth example 2 : dy (cid:12200) = x2 + c y y = x2 -1c. 16 = c y = x2 -116 example 3 % dagg = 6-2 flay + cosey ) dy = f6k2dx. + sin y = 2 3 -1c implicit solution because can"t isolate for y example 4 : At as a function of time d = c( t - 20) Separate k "s & y "s , integrate both sides f dt. =f eat ln it-201 = ct -1 k. F 1 dx = 2 1- c. 3 = sink f dy = fs n ex ik y.
