Answer:
Step-by-step explanation:
We are given the following in the question:
Let the equation:
be the linear equation that represent temperature at an elevation x.
Temperature at 6000-foot level = 76 f
Temperature at 12000-foot level = 49 f
Solving the two equation, we get,
Thus, we can write the linear equation as:
Answer:
Step-by-step explanation:
Let:
This is an exact differential equation because:
With this in mind let's define f(x,y) such that:
and
So, the solution will be given by f(x,y)=C1, C1=arbitrary constant
Now, integrate with respect to x in order to find f(x,y)
where g(y) is an arbitrary function of y
Let's differentiate f(x,y) with respect to y in order to find g(y):
Now, let's replace the previous result into :
Solving for
Integrating both sides with respect to y:
Replacing this result into f(x,y)
Finally the solution is f(x,y)=C1 :