The current temperature in Smalltown is 20°F. This is 6 degrease less than twice the temperature that it was six hours ago. What
1 answer:
You might be interested in
Answer: The required solution of the given IVP is
Step-by-step explanation: We are given to find the solution of the following initial value problem :
Let be an auxiliary solution of the given differential equation.
Then, we have
Substituting these values in the given differential equation, we have
So, the general solution of the given equation is
where A and B are constants.
This gives, after differentiating with respect to x that
The given conditions implies that
and
Adding equations (i) and (ii), we get
From equation (i), we get
Substituting the values of A and B in the general solution, we get
Thus, the required solution of the given IVP is