Part 1 please answer True or false for the below 4 points. Part 2 Please answer section (A) only for part 2 Part 3 Pleas
Posted: Tue Sep 07, 2021 7:26 am
Part 1
please answer True or false for the below 4 points.
Part 2
Please answer section (A) only for part 2
Part 3
Please answer section (A) only for part 3
For the differential equation Page = Vy2 – 81 does the existence/uniqueness theorem guarantee that there is a solution to this equation through the point ? 1.(-2, -9)? ? 2. (-8,84)? ? ? 3.(-6, 9)? ? V 4.(-5,90)?
Entered Answer Preview Result 2000 2000/[e^(161* e^(-0.05*t)))) incorrect e1.61e-0.05 2000 2000 correct 2000 735.758882342885 correct e At least one of the answers above is NOT correct. Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of the differential equation dP cin (%)P dt where c is a constant and K is the carrying capacity. (a) Solve this differential equation for c = 0.05, K = 2000, and initial population Po = 400. P(t) = (2000)/(e^(1(61)^(-0.05)) (b) Compute the limiting value of the size of the population. lim P(t) = 2000 (c) At what value of P does P grow fastest? P= 2000/e
Entered Answer Preview Result t^3 t3 incorrect t<0 -o0<t< 0 correct -infinity <t< infinity -<t<oo correct At least one of the answers above is NOT correct. Consider the initial value problem 2ty' = 6y, y(-2) = 8. a. Find the value of the constant C and the exponent r so that y = Ct" is the solution of this initial value problem. 9= ^3 help (formulas) b. Determine the largest interval of the form a <t<b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. -infinity<t<0 help (inequalities) c. What is the actual interval of existence for the solution (from part a)? -infinity<t<infinity help (inequalities)
please answer True or false for the below 4 points.
- Part 1 Please Answer True Or False For The Below 4 Points Part 2 Please Answer Section A Only For Part 2 Part 3 Pleas 1 (17.16 KiB) Viewed 59 times
Please answer section (A) only for part 2
- Part 1 Please Answer True Or False For The Below 4 Points Part 2 Please Answer Section A Only For Part 2 Part 3 Pleas 2 (62.64 KiB) Viewed 59 times
Please answer section (A) only for part 3
- Part 1 Please Answer True Or False For The Below 4 Points Part 2 Please Answer Section A Only For Part 2 Part 3 Pleas 3 (58.06 KiB) Viewed 59 times
Entered Answer Preview Result 2000 2000/[e^(161* e^(-0.05*t)))) incorrect e1.61e-0.05 2000 2000 correct 2000 735.758882342885 correct e At least one of the answers above is NOT correct. Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of the differential equation dP cin (%)P dt where c is a constant and K is the carrying capacity. (a) Solve this differential equation for c = 0.05, K = 2000, and initial population Po = 400. P(t) = (2000)/(e^(1(61)^(-0.05)) (b) Compute the limiting value of the size of the population. lim P(t) = 2000 (c) At what value of P does P grow fastest? P= 2000/e
Entered Answer Preview Result t^3 t3 incorrect t<0 -o0<t< 0 correct -infinity <t< infinity -<t<oo correct At least one of the answers above is NOT correct. Consider the initial value problem 2ty' = 6y, y(-2) = 8. a. Find the value of the constant C and the exponent r so that y = Ct" is the solution of this initial value problem. 9= ^3 help (formulas) b. Determine the largest interval of the form a <t<b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. -infinity<t<0 help (inequalities) c. What is the actual interval of existence for the solution (from part a)? -infinity<t<infinity help (inequalities)