Apply the standard RK4 method to the following initial value problem: d²y dt² - =- 2t- -1 y(2) = y' (2) = 2 dy + 2y = t³ Int with a step size of h = 0.2. Start by transforming this second order differential equation into a system of first order differential equations by using the variables Ут Y2 = y dy dt Give the approximations w₁ and w₂ of y₁ and y2 in t = 4. Use 16 digits in your calculations and give the answers with at least 5 significant digits w₁ (t = 4) = w₂ (t = 4) =

Apply the standard RK4 method to the following initial value problem: d²y dt² - =- 2t- -1 y(2) = y' (2) = 2 dy + 2y = t³ Int with a step size of h = 0.2. Start by transforming this second order differential equation into a system of first order differential equations by using the variables Ут Y2 = y dy dt Give the approximations w₁ and w₂ of y₁ and y2 in t = 4. Use 16 digits in your calculations and give the answers with at least 5 significant digits w₁ (t = 4) = w₂ (t = 4) =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 15CR

See similar textbooks