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Answer: Hi! A second order differential equation for the function y(t) has the next shape:
Where p(t), q(t) and g(t) are functions of t.
Then a second order differential equation for y is a differential equation involving the second derivative of y.
Is useful to remember that the order in a differential equation tells us the number of derivations involved in our function, for example, a "third order differential equation" is that involving the third derivative of y, but usually for orders above of two, are called "higher orders differential equations"
Answer:
Dale will reach his goal at an annual rate of 11.83%.
Step-by-step explanation:
The formula for continuos compounding is given by:
In which A is the amount after t years, P is the principal(initial amount) and r is the annual rate.
Dale has 2000 dollars to invest.
This means that
He has a goal to have 5800 in this invest ment in 9 years.
So
At what annual rate compounded continuously will Dale reach his goal?
This is r.
Dale will reach his goal at an annual rate of 11.83%.