Answer:
y = (5/4)2^x
Step-by-step explanation:
The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...
y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))
y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference
This can be simplified to ...
y = 10·2^(x -3) = 10/8·2^x
y = (5/4)2^x
4(2x-7)=8x-28
4(-4x+18)=-16x+72
(8x-28)-(-16x+73)
24x+45
Answer:
p=2
Step-by-step explanation:
−4p=11−19
−4p=−8
then you divide both sides by -4 and two negatives make a positive.
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
