Calculus: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134763644

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Differential Equations

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Chapter 9.2, Problem 26E

Two steps of Euler’s method For the following initial value problems, compute the first two approximations u₁ and u₂ given by Euler’s method using the given time step.

26. y′(t) = –y, y(0) = –1; Δt = 0.2

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Chapter 9.2, Problem 25E

Chapter 9.2, Problem 27E

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Chapter 9 Solutions

Calculus: Early Transcendentals (3rd Edition)

Ch. 9.1 - What are the orders of the equations in Example 2?...Ch. 9.1 - What is the solution of the initial value problem...Ch. 9.1 - Solve the initial value problem in Example 4a with...Ch. 9.1 - Suppose the initial conditions in Example 5a are...Ch. 9.1 - In Example 7, if the height function were given by...Ch. 9.1 - Consider the differential equation y(t) + 9y(t) =...Ch. 9.1 - If the general solution of a differential equation...Ch. 9.1 - Does the function y(t) = 2t satisfy the...Ch. 9.1 - Does the function y(t) = 6e3t satisfy the initial...Ch. 9.1 - The solution to the initial value problem y(t) = 2...

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Two steps of Euler’s method For the following initial value problems , compute the first two approximations u 1 and u 2 given by Euler’s method using the given time step. 26. y ′( t ) = – y , y (0) = –1; Δ t = 0.2

Solution Summary: The author explains the first two approximation of the given initial value problem by Euler's method using the time steps.

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