Find the particular solution. (Remember to use absolute values where

Michelle Isakson

Michelle Isakson

Answered question

2021-12-06

Find the particular solution. (Remember to use absolute values where appropriate.)
dy=(2xx)dx;y(1)=7

Answer & Explanation

Lupe Kirkland

Lupe Kirkland

Beginner2021-12-07Added 21 answers

Step 1
To determine the solution of the differential equation.
Step 2
Given:
dy=(2xx)dx,y(1)=7
Step 3
Integrate on both the sides w.r.t x as,
dy=(2xx)dx,y(1)=7
dy=(2xx)dx
dy=21xdxxdx
y=2ln|x|x22+C
Step 4
Using the initial condition y(1) =7,
y=2ln|x|x22+C
7=2ln|1|122+C
7=012+C
C=7+12
C=152
y=2ln|x|x22+152

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?