I think the answer is 3 but I’m not sure.
Hope this helps!
After a little manipulation, the given diff'l equation will look like this:
e^y * dy = (2x + 1) * dx.
x^2
Integrating both sides, we get e^y = 2------- + x + c, or e^y = x^2 + x + c
2
Now let x=0 and y = 1, o find c:
e^1 = 0^2 + 0 + c. So, c = e, and the solution is e^y = x^2 + x + e.
Answer:
1/3
Step-by-step explanation:
<em>Method 1.</em>
slope = rise/run
Rise is vertical distance.
Run is horizontal distance.
Find two points that are easy to read (on grid intersections):
(2, -1) and (5, 0).
Start at (2, 1). You need to go to (5, 0) by moving only vertically and horizontally. Go up 1 unit. That is a rise of 1. Now go right 3 units. That is a run of 3.
rise = 1
run = 3
slope = rise/run = 1/3
<em>Method 2.</em>
Use the slope formula and two points on the line.

Use points (2, -1) and (5, 0).



slope = 1/3
I believe the answer is 83.5 this may be wrong and if so I apologize in advance.