Help! a) Solve the first order linear differential equation dydx+xy=x, y0=−6. b) Write down any...

Monique Slaughter

Monique Slaughter

Answered

2022-01-20

Help!
a) Solve the first order linear differential equation dydx+xy=x, y0=6. b) Write down any two applications of first order linear differential equation.

Answer & Explanation

Annie Gonzalez

Annie Gonzalez

Expert

2022-01-20Added 41 answers

a) The given differential equations is,
dydx+xy=x
where, y0=6
Now,
dydx=xxy
 dydx=x(y1)
 dyy1=xdx
Integrating we have,
log|y1|==x22+A, A in integrating constant.
Given y0=6
So,
log|61|=0+A
 A=log|7|
Therefore, the solution is,
log|y1|+x22=log|7|
 logy17=x22
 y17=ex22
 y1=7ex22
The rewquired solution is,
y=17ex22
einfachmoipf

einfachmoipf

Expert

2022-01-21Added 32 answers

b) Here we need to write two applications of first order linear differential equation.
So,two applications of first order linear differential equation is,
(ii) Newtons

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

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

Didn't find what you were looking for?