1. I suppose the ODE is supposed to be

Solving for
gives

which is undefined when
. The interval of validity depends on what your initial value is. In this case, it's
, so the largest interval on which a solution can exist is
.
2. Separating the variables gives

Integrate both sides. On the left, we have

where we substituted
- or
- and
- or
.

On the right, we have


So




I'll leave the solution in this form for now to make solving for
easier. Given that
, we get



and so our solution is

This tells you the answer
Answer:
y > -3x + 6
Step-by-step explanation:
The y intercept is the first thing we look at and its super easy. so its 6
now we have to find the slope.
well since 2 is x and 6 is y its 6/2 well simplify this its 3. but now its going downwards like so in the graph it is -3. it would be 3 if it wasn't a decline. so since the shading is above the line it is this symbol >
if you have any questions feel free to ask in the comments.