In Problems 1–10 use the improved Euler’s method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.
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Chapter 9 Solutions
Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's ... Problems, 9th Edition, Single-Term
- 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes though the point (e,e+ 1).arrow_forward1. If rxty = +1 and rx2y = -1, can you tell what happens to rxy when we combine x1 and x2 into a new variable? Make and provide your own data for your demonstration.arrow_forwardFind 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_forward
- Problem 1. Find y as a function of a if y(1) = 6, y'(1) = −2. y = x²y" - 6xy' - 8y = 0,arrow_forwardIf y = e2" 2-3 , then find y" at x = 0 Enter your answer as a decimalarrow_forwardFull solution is required. Problem 2. Let f(x) = g(x? + 1), where g'(2) = 3 and g"(2) = 5. Compute f"(1). Full solution is required. %3Darrow_forward
- 3. Use Euler's method to approximate the value of = -2x3 + 12x2 - 20x + 8.5 from x = 0 to x = 4. The initial condition is y(0) = 1. Use the following step size: a. h= 0.5 dx b. h 0.25 C. h 0.1 d. Compute for the true error and relative percentage error using the true value of y = -0.5x* + 4x3 + 8.5x + 1 at x-4 for each given steps. 1. Ka Ping has decided to save money roughly P100 per week. Suppose he makes a bi-monthly deposits of this money into a bank account that pays annual interest of 10%, compounded continuously. Use annuity formula: = rS + d; S(0) = So ds %3D dt a. Use Euler's method and approximate the balance after 4 years. b. Solve the general solution of the given annuity formula and solve for the exact value. 3 dy 2. 32+5y = sin x, y(0.3)= 5 and using a step size of h = 0.3, Approximate the value of y(0.9) dx using Euler's method.arrow_forward1. (x + √y² + 1) dx · (y – H.W. solve the following D.E. xy - - √12241) dy = 0arrow_forwardProblem 3: Find the second derivative y of In Iny) + Inx= Iny. B X+Y C. D. in y y-x inx x-yarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage