Question

Simple question I guess:

find isoclines of differential equation:
y'=x+y+2

can't remember a thing about them, but are the isoclines all the lines, that has the equation:
C=x+y+2
where C is any constant number?

Answer 1

Yes

Answer 2

http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/lecture-1-the-geometrical-view-of-y-f-x-y/

Answer 3

while we are at it.
I have a problem:
"Find dif.eq., which has general integral xy=C"
I think, that here the general integral means, that some function Q(x,y,C)=0 is the solution of the dif.eq.
Then, i guess, to find dif.eq. I just differentiate it and dif.eq. with general integral as stated above is
x' * y + x* dy/dx=0

Answer 4

i.e., xy' + y = 0

Answer 5

yeah, right. thanks.