Note that if

, then

, and so we can collapse the system of ODEs into a linear ODE:


which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

so that the characteristic solution is

Now let's suppose the particular solution is

. Then

and so

Thus the general solution for

is

and you can find the solution

by simply differentiating

.
Explanation

When taking derivatives of polynomials, we primarily make use of the power rule.
Power rule.

also, the derivate of a sum is the sum of the derivates
hence

Step 1
apply:

therefore, the answer is
I don’t know sorry
I I don’t know sorry
Answer:
55.0 or 60 i don't know,i just got those answers
Step-by-step explanation:
The pH value of a solution is a logarithmic function of the hydronium ion concentration in the solution. Since we are given the pH foe both we can easily calculate the H+ ion concentration as follows:
Aeen
3.3 = -log (H+)
H+ = 0.04 M
Marien
2.7 = - log (H+)
(H+) = 0.07 M
Therefore, Aeen's drink is 0.07/0.04 or 2 times more hydrogen ion concentration than Marien's drink.