credits will go fo the full explained clear answers in steps ! :) In 1990 the de
ID: 2963543 • Letter: C
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credits will go fo the full explained clear answers in steps ! :)
In 1990 the department of Natural Resources released 1000 fish into a lake . In 1997 the population of fish in the lake was estimated to be 3000. Estimate the population of fish in the lake in year 2020. A cold milk initially at 35 F warms up to 40 F in 3 min while sitting in a room of temperature 70 F . How warm will the milk be if left out for 20 min. Find a particular solution to the differential equation. y" + 4 y = 8sin(2t) Find the solution to the initial value problem. y" + 2y' + y = t2 + 1 - et y(0) = 0 , y'(0) = 2 Find a general solution to the differential equation. y"(theta) + y(theta) = sec3(theta) Find a general solution to the given Cauchy -Euler equation for x >0 x2y" + xy> + 9 y = -tan(3 ln(x))Explanation / Answer
1) dp(t)/dt= ap(t) z(t0)= x0 Z(t) = X0 e^(a(t-t0)) puting value 3000 = 1000 e^a(7) a = 1/7ln3 puting and satisfied 2020.... p(2020) = 1000 e^(1/7ln3)(30) =1000e^30/7ln 3 = 110867 3) dy/dx*dy/dx +4y=8sin2t y(t)=E2sin2t+E1cos2t-2tcos2t y"+2(x+y)=2sin2t so x+y=y y"+4y=8sin2t
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