How to solve this diffrential equation using parts formula? \frac{\mathrm dy}{\mathrm

coraletsmmh

coraletsmmh

Answered question

2022-04-28

How to solve this diffrential equation using parts formula?
dydx+y20=50(1+cosx)

Answer & Explanation

kubistiedt

kubistiedt

Beginner2022-04-29Added 17 answers

Step 1
Hint:
eaxcos(bx) dx =eaxa2+b2[acos(bx)+bsin(bx)]+c
Proof:
Let,
I=eaxucos(bx) dx dv=uvvdu
I=eax[1bsin(bx)]abeaxsin(bx) dx 
=eax[1bsin(bx)](abeax[1bcos(bx)]a2b2eaxsin(bx) dx )
I=eax(acos(bx)+bsin(bx)b2+a2b2I
I(1+a2b2)=eax(acos(bx)+bsin(bx)b2
 I =eaxa2+b2[acos(bx)+bsin(bx)]

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?