Asked by james
solve the initial value problem by separation of variables dy/dx=y^(2)+1, y(1)=0
Answers
Answered by
drwls
The integral of dy/(y^2 +1) equals the integral of dx. Integrate both sides from the y(1) = 0 point
arctany - arctan0 = (x - 1)
arctany = (x-1)
y = tan(x-1)
arctany - arctan0 = (x - 1)
arctany = (x-1)
y = tan(x-1)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.