How to approach the ODE y ′ + sin ⁡ ( x + y )...

Esmeralda Lane

Esmeralda Lane

Answered

2022-07-06

How to approach the ODE y + sin ( x + y ) = sin ( x y )

Answer & Explanation

esperoanow

esperoanow

Expert

2022-07-07Added 11 answers

y + sin ( x + y ) = sin ( x y )
y = sin ( x y ) sin ( x + y ) = 2 cos x sin y
d y d x = 2 cos x sin y
d y sin y = 2 cos x d x
csc y d y = 2 cos x d x
Integrating both sides, we get
ln | csc y cot y | = 2 sin x + c
where c is a constant of integration.

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?