A First Course in Differential Equations with Modeling Applications (MindTap Course List)
11th Edition
ISBN: 9781305965720
Author: Dennis G. Zill
Publisher: Cengage Learning
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Chapter 9, Problem 4RE
To determine
The table for comparing the value of
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Chapter 9 Solutions
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
Ch. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - Prob. 4ECh. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - Prob. 6ECh. 9.1 - In Problems 1–10 use the improved Euler’s method...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - In Problems 110 use the improved Eulers method to...Ch. 9.1 - In Problems 110 use the improved Eulers method to...
Ch. 9.1 - Consider the initial-value problem y′ = (x + y –...Ch. 9.1 - Consider the initial-value problem y = 2y, y(0) =...Ch. 9.1 - Repeat Problem 13 using the improved Eulers...Ch. 9.1 - Repeat Problem 13 using the initial-value problem...Ch. 9.1 - Repeat Problem 15 using the improved Euler’s...Ch. 9.1 - Consider the initial-value problem y = 2x 3y + 1,...Ch. 9.1 - Repeat Problem 17 using the improved Euler’s...Ch. 9.1 - Repeat Problem 17 for the initial-value problem y′...Ch. 9.1 - Repeat Problem 19 using the improved Euler’s...Ch. 9.1 - Answer the question Why not? that follows the...Ch. 9.2 - Use the RK4 method with h = 0.1 to approximate...Ch. 9.2 - Assume that (4). Use the resulting second-order...Ch. 9.2 - In Problems 3–12 use the RK4 method with h = 0.1...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 3–12 use the RK4 method with h = 0.1...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - In Problems 312 use the RK4 method with h = 0.1 to...Ch. 9.2 - If air resistance is proportional to the square of...Ch. 9.2 - Consider the initial-value problem y = 2y, y(0) =...Ch. 9.2 - Repeat Problem 16 using the initial-value problem...Ch. 9.2 - Consider the initial-value problem y′ = 2x – 3y +...Ch. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - In Problems 58 use the Adams-Bashforth-Moulton...Ch. 9.4 - Use Eulers method to approximate y(0.2), where...Ch. 9.4 - Use Euler’s method to approximate y(1.2), where...Ch. 9.4 - Prob. 3ECh. 9.4 - In Problems 3 and 4 repeat the indicated problem...Ch. 9.4 - Prob. 5ECh. 9.5 - In Problems 110 use the finite difference method...Ch. 9.5 - Prob. 2ECh. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - In Problems 1 – 10 use the finite difference...Ch. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - The electrostatic potential u between two...Ch. 9.5 - Prob. 13ECh. 9 - In Problems 14 construct a table comparing the...Ch. 9 - In Problems 14 construct a table comparing the...Ch. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RE
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- 2.6-2. Given the difference equation - 2) = 3(k+ 1) + x(k)= y(k + 2) where y(0) = y(1) = 0, e(0) = 0, and e(k) = 1. k=1,2,... (a) Solve for y(k) as a function of k, and give the numerical values of y(k), (b) Solve the difference equation directly for y(k), 0 k 4. to verify (c) Repeat parts (a) and (b) for e(k)= 0 for all k, and y(0) = 1, y(1) = -2. the results 0 sks 4. of part (a). y (k)arrow_forward1. Find y if y =x In(4x² +1) .arrow_forward1 4.) x = 12 (2y-y required:a) find the value of x if y = 1/2arrow_forward
- Find the slope-intercept equation of the line tangent to the graph of y = e when x = In 3. O y = 3x + 3 (1 - In 3) %3D O y = In(3) x + 3(1 - In 3) y = 3x - 3 (1 - In 3) O y = In(3) x + 3arrow_forwardFor f(x) and g(x) given in Problems 35–38, find (a) (f + g)(x) (b) (f – g)(x) (c) (f'g)(x) (d) (f/g)(x) 35. f(x) = 3x g(x) = x' 36. f(x) = Vx g(x) = 1/x 37. f(x) = V2x g(x) = x² 38. f(x) = (x – 1)? g(x) = 1 – 2x Click to %3D For f(x) and g(x) given in Problems 39–42, find (a) (fº g)(x) (b) (g •f)(x) (c) ƒ(f(x)) (d) f(x) = (f·f)(x) 39. f(x) = (x – 1)³ g(x) = 1 – 2x 40. f(x) = 3x g(x) = x' – 1 41. f(x) = 2Vx g(x) = x* + 5 %3D %3D 1 42. f(x) = g(x) = 4x + 1arrow_forward4. Locate the fixed point of x = xy y = x + y and compute the index about the fixed point.arrow_forward
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