Question: Repeat Problem 18 for the initial-value problem y' = e -y , y(0) = 0. The analytic solution is y(x) = ln(x + 1). Approximate

Repeat Problem 18 for the initial-value problem y' = e-y, y(0) = 0. The analytic solution is y(x) = ln(x + 1). Approximate y(0.5). See Problem 7.


Problem 18

Consider the initial-value problem y' = 2x - 3y + 1, y(1) = 5. The analytic solution is

38 -3(x-1)

38 -3(x-1)

Step by Step Solution

3.41 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Here we use the Euler formula dy e y 0 0 dx x0 y 0 let h 01 y 01 yohf ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (2 attachments)

PDF file Icon

1527_605d88e1a1bea_848855.pdf

180 KBs PDF File

Word file Icon

1527_605d88e1a1bea_848855.docx

120 KBs Word File

Students Have Also Explored These Related A First Course in Differential Equations Questions!