Solution Found!
Warm-up initial value problems Solve the following
Chapter 7, Problem 10E(choose chapter or problem)
QUESTION:
Warm-up initial value problems Solve the following problems.
\(\frac{d y}{d t}=8 e^{-4 t}+1, \ y(0)=5\)
Questions & Answers
QUESTION:
Warm-up initial value problems Solve the following problems.
\(\frac{d y}{d t}=8 e^{-4 t}+1, \ y(0)=5\)
ANSWER:Problem 10E
Warm-up initial value problems Solve the following problems.
Solution
Step 1
In this problem we have to solve the given initial value problem.
Given
Consider
We can rewrite the above equation as where
means the derivative of function
with respect to
.
Thus we have
Integrate both sides with respect to , we get,
where c is integration constant.
Hence we get … (1)