This is uselful! Thanks: ))
Answer:
80.83722
Step-by-step explanation:
−5.47753
/0.06776
=−80.83722
x-80.83722
+80.83722 on both
x=80.83722

Let

, so that

. Then the ODE becomes linear in

with

Find an integrating factor:

Multiply both sides of the ODE by

:

The left side can be consolidated as a derivative:

Integrate both sides with respect to

to get

where the right side can be computed with a simple substitution. Then

Back-substitute to solve for

.
Remark
Very interesting fact. Thanks for posting. 1/10 of the state is not farm land because 9/10 is.
Solution
The entire state of Nebraska is 45,000,000 acres of land
1/10 of that is 1/10 * 45,000,000 acres = 4,500,000 acres. <<< Answer