1 / 1

Example 2 Solve the initial value problem y / = x ln x and y(1)=2.

Example 2 Solve the initial value problem y / = x ln x and y(1)=2. Solution By the definition of the indefinite integral all solutions to the differential equation y / = x ln x are given by: Think of x = D ( ½ x 2 ) and integrate by parts:

altessa
Télécharger la présentation

Example 2 Solve the initial value problem y / = x ln x and y(1)=2.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Example 2 Solve the initial value problem y / = xln x and y(1)=2. Solution By the definition of the indefinite integral all solutions to the differential equation y / = xln x are given by: Think of x = D( ½ x2) and integrate by parts: A solution to the initial value problem must also satisfy: Thus the initial value problem has the unique solution

More Related