For the ODE

multiply both sides by <em>t</em> so that the left side can be condensed into the derivative of a product:


Integrate both sides with respect to <em>t</em> :

Divide both sides by
to solve for <em>y</em> :

Now use the initial condition to solve for <em>C</em> :



So the particular solution to the IVP is

or

If you talk for 384.23 minutes the two plans will have the same cost.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
x is the number of minutes that will be used during a month:
C₁ = 0.24x
C₂ = 49.95 + 0.11x
So, when 1st = 2nd
0.24x = 49.95 + 0.11x
0.24x - 0.11x = 49.95
0.13x = 49.95
x = 49.95/0.13
x = 384.23 minutes
Hence, If you talk for 384.23 minutes the two plans will have the same cost.
Learn more about equations here;
brainly.com/question/10413253
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Answer:
what happened to spinner b
Step-by-step explanation:
<span>
</span><span>
Depending on the value of 't' and 'u', the numerical value of that expression
could have almost anything for factors.
For example, if 't' happens to be 3 and 'u' happens to be 10, then 6tu = 180,
and the factors of 6tu are
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
But that would only be temporary ... only as long as t=3 and u=10.
The only factors you can always count on, that don't depend on the values
of 't' and 'u', are
1, 6, t, u, 6t, 6u, tu, and 6tu .
</span>
Answer: a little over 6 years.
Step-by-step explanation:
rounded, 6 years.