Program Explanation Given information: Initial values have been given y ( 0 ) = 0 ; y ( 2 ) = ? Program: Solve the differential equation, d y d x = x 2 + y 2 − 1 , y ( 0 ) = 0 ; y ( 2 ) = ? The program can be written as below: Put the initial conditions and sketch the curve and find the value of y at x= 2. Query : First, represent y by using “syms” to create the symbolic function y(x). Define the equation using = = and represent differentiation using the “diff” function. Solve the equation using “dsolve” and put the conditions which are defined by “cond”. Plot the curve using “ezplot”. Find the value of y at x = − 4 . Solution of the differential equation is y = ( ( C 5 × w h i t t a k e r M ( 1 i / 4 , 1 / 4 , x 2 × 1 i ) − C 5 × w h i t t a k e r M ( 1 + 1 i / 4 , 1 / 4 , x 2 × 1 i ) × ( 2 − 1 i ) … − x 2 × w h i t t a k e r W ( 1 i / 4 , 1 / 4 , x 2 × 1 i

5th Edition

ISBN: 9780135904206

Author: Edwards

Publisher: PEARSON

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Problems on Growing Functions

For a given set of functions f and g, the growth of functions states that the function g grows as fast as the function f. The growth rate of algorithms helps determine the algorithm's efficiency and compare its performance to other algorithms.

Question

Chapter 1.3, Problem 23P

Program Plan Intro

Use the solution curve to estimate the desired value of the solution y(x).

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Chapter 1.3, Problem 22P

Chapter 1.3, Problem 24P

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Chapter 1 Solutions

DIFFERENTIAL EQUATIONS+..-MYLAB ACCESS

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Use the solution curve to estimate the desired value of the solution y ( x ) .

Solution Summary: The author explains how to solve the differential equation using a symbolic function y(x) and the differentiation function (diff) function.

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Use the solution curve to estimate the desired value of the solution y(x).

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Chapter 1 Solutions