Solving a system of differential equations with the variable x How

etudiante9c2

etudiante9c2

Answered question

2022-04-20

Solving a system of differential equations with the variable x
How to find a basis of solutions of the system for
y'=3x-1x-1-x-2x-2y
where one solution is y=y1-y1?

Answer & Explanation

ophelialee4xn

ophelialee4xn

Beginner2022-04-21Added 14 answers

Step 1
Given:
y=(3x1x1x2x2)y
y1=(3x1)y1+(x1)y2
y2=(x2)y1+(x2)y2
Step 2
Sum both differential equations:
(y1+y2)=(2x3)(y1+y2)
This DE is separable. I suppose that dydx=y.

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?