5. If this equation is exact, show that it is and solve it using the appropriate...
Consider the following initial value problem у(0) — 0. у%3D х+ у, (i) Solve the differential equation above in tabular form with h= 0.2 to approximate the solution at x=1 by using Euler's method. Give your answer accurate to 4 decimal places. Given the exact solution of the differential equation above is y= e-x-1. Calculate (ii) all the error and percentage of relative error between the exact and the approximate y values for each of values in (i) 0.2 0.4...
Develop the equation to fit data using cubic regression. Solve the system of equation using Naïve Gauss method. Write down the equation. х у 0.5 13.429 0.55 26.606 0.6 25.880 0.65 40.969 0.7 38.696 0.75 58.633 0.8 75.829 0.85 102.786 0.9 150.862 0.95 212.095 1 305.255
5. a) Show that the equation ydr +dy 0 is exact and solve it. b) In the general solution you obtained in part a), sclect different values of the constant c and graph the corresponding integral curves. Sclect at least four different values of c, two positive and two negative. c) Find the particular solution satisfying the initial condition y(3) = -1 and graph it.
It is important to understand the difference between an exact solution to an equation and an approximate solution. Find the exact solutions and the approximate solutions to 4 decimal places. 8.x2 - 7x - 6 = 0 Write the solution set using exact solutions. Solve the equation by using any method. 1372 +5=0 The solution set is { 1}. (Separate your answers with commas) (Express the solution set in exact simplest form. Rationalize the denominator if necessary.) Solve the equation...
Solve the equation in radians for all exact solutions where appropriate. Round approximate answers in radians to four decimal places. Write answers using the least possible nonnegative angle measures. 2 sin 2x - V2 = 0 Choose the correct answer below. O A. The solution set is + nit, Зл +na, where n is any integer 8 OB. The solution set is { Зл + 2nnt, 2 +2nt, where n is any integer OC. The solution set is · +...
Solve the equation in radians for all exact solutions where appropriate. Round approximate answers to four decimal places. Write answers using the least possible nonnegative angle measures. 2 sin 2x + sin x - 1 = 0 Choose the correct answer below. 51 O A. The solution set is ola + 2n, 6 Зл + 2n, 2 +2nt, where n is any integer 6 51 OB. The solution set is Ala +21. 6 + 2n, 31 2 +2nt, where n...
Solve the equation. Show your work using properties of logarithms and exponents and give an exact answer (not a decimal approximation). 4(9 - 3x) = 64
Solve the equation in degrees for all exact solutions where appropriate. Round approximate answers 5 sin 0 = 5 cos 20 What is the solution set? O A. {30°, + 360°n, 120° + 360°n, 270° + 360°n, where n is any integer; OB. {0° + 180°n, 120° +180°n, 240° + 180°n, where n is any integer; O C. (30° + 360°n, 150° + 360°n, 270° + 360°n, where n is any integer} OD. {0° + 360°n, 150° + 360°n, 240°...
Solve the following exact differential equation. You don't have to show that it is exact. (ecos(y) - esin(x)) + (esin(x) - e* sin(y)]y' = 0 Solution.
Solve the equation in radians for all exact solutions where appropriate. Round approximate answers in radians to four decimal places. Write answers using the least possible nonnegative angle measures. 4 sin 1 1/2 = 2/2 Which of the following are all possible solutions? 31 O A. The solution set is +2nt +2nt, where n is any integer eger? 2 {{ : { 31 OB. The solution set is + 4n +4nt, where n is any integer 4 31 O C....