Question

дифференциальное уравнение

Answer 1

Let, x+y=u

=>du\dx-1=dy\dx

Now, du\dx-1=u²

=>du\1+u²=dx

=>du\1+u²=dx

=> tan-¹u=x+c

=>x+y=tan(x+c)

=>y=tan(x+c)-x