Answer:
y=6
Step-by-step explanation:
The equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)
(1, 2): 2=2+b --> b=0
So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).
The ODE is linear:
Multiplying both sides by gives
Notice that the left side can be condensed as the derivative of a product:
Integrating both sides with respect to yields
Since ,
so that
it increase by 31%
1.31-1.00=.31 move the decimal place to the left 31%