Not of Bernoulli type, but still linear.
There's no need to find an integrating factor, since the left hand side already represents a derivative:
![\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=(1+x^2)\dfrac{\mathrm dy}{\mathrm dx}+2xy](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B%281%2Bx%5E2%29y%5D%3D%281%2Bx%5E2%29%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%2B2xy)
So, you have
![\dfrac{\mathrm d}{\mathrm dx}[(1+x^2)y]=4x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B%281%2Bx%5E2%29y%5D%3D4x%5E2)
and integrating both sides with respect to
yields
Answer:
73/3.14=23.2484076433
Step-by-step explanation:
Divide the circumference by π, or 3.14 for an estimation.
And that's it; you have the circle's diameter
Let's say the amount of nickels you have is hmm "n"
and the amount of dimes you have is "d"
there are 5cents in one nickel, so, if "n" is the total amount of nickels you have, that means 5 * n cents or 5n
there are 10cents in one dime, so, if "d" is the total amount of dimes you have, that means 10*d or 10d
whatever 5n and 10d are, we know that their sum is 595
since the total amount the counter said you have is, only 595 cents
thus 5n + 10d = 595
solve for either, "d" or "n", and graph that
what are three likely combinations? well, just pick three points off that graph
Answer:
where 
is the number of laptops, and 
is the year.
in 2017: 
Step-by-step explanation:
I will define the variable as the number of years that passed since 2007.
Since the school buys 20 lapts each year, after a number of years, the school will have
more laptops.
and thus, since the school starts with 31 laptops, the equation to model this situation is
where is the number of laptops.
since x is the number of years that have passed since 2007, it can be represented like this:
where can be any year, so the equation to model the situation using the year:
and this way we can find the number of laptos at the end of 2017:
and
The volume in quarts is equal to the cups divided by 4
1qt=4c
