Answer:
noah
Step-by-step explanation:
208/4=52
342/6=57
Check if the equation is exact, which happens for ODEs of the form

if
.
We have


so the ODE is not quite exact, but we can find an integrating factor
so that

<em>is</em> exact, which would require


Notice that

is independent of <em>x</em>, and dividing this by
gives an expression independent of <em>y</em>. If we assume
is a function of <em>x</em> alone, then
, and the partial differential equation above gives

which is separable and we can solve for
easily.




So, multiply the original ODE by <em>x</em> on both sides:

Now


so the modified ODE is exact.
Now we look for a solution of the form
, with differential

The solution <em>F</em> satisfies


Integrating both sides of the first equation with respect to <em>x</em> gives

Differentiating both sides with respect to <em>y</em> gives


So the solution to the ODE is


Answer:
A. (3 , 1)
Step-by-step explanation:
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Answer:
graphic attached
Step-by-step explanation:
Hi
when t = 0 then s (t) = 1/4
when t tends to infinity then s (t) tends to 0
when t tends to infinity then s (t) tends to infinity
the function has a horizontal asymptote at y = 0
Success with your homework