Question

Find the general solution of the linear equation:

y'=1+x+y+xy

Not sure what the P(x) is when written as y'+P(x)=Q(x)

Answer 1

WHY THE FREAK DID U POST IT A THOUSAND TIMES!?!?!?

Answer 2

this is my first time posting this question

Answer 3

rewrite
\[\frac{dy}{dx}=y(x+1) +(x+1) = (x+1)(y+1)\]
separate variables
\[\frac{dy}{y+1} = (x+1) dx\]
integrate both sides , then solve for y

Answer 4

you don't need to use y' +P(x)y = Q(x) since this is separable

Answer 5

ok

Answer 6

Thanks