Answer:
<h2>

</h2>
Step-by-step explanation:
w = yh - 2yc³
First of all factorize y out of the expression on the right side of the equation
That's
w = y( h - 2c³)
Next divide both sides by (h - 2c³) to make y stand alone
We have
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
a)
Step-by-step explanation:
Data represented by the plot: 0, 1, 1, 1, 2, 3, 4, 4, 6, 7 & 8
B) & C) Can’t be answers cuz of 2 0’s
So it’s between A) & D)
Well D is missing one more 1 in the data plot so the answer is A
By the chain rule,

which follows from
.
is then a function of
; denote this function by
. Then by the product rule,
![\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1x\dfrac{\mathrm dy}{\mathrm dt}\right]=-\dfrac1{x^2}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac1x\dfrac{\mathrm df}{\mathrm dx}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%5E2y%7D%7B%5Cmathrm%20dx%5E2%7D%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1x%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dt%7D%5Cright%5D%3D-%5Cdfrac1%7Bx%5E2%7D%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dt%7D%2B%5Cdfrac1x%5Cdfrac%7B%5Cmathrm%20df%7D%7B%5Cmathrm%20dx%7D)
and by the chain rule,

so that

Then the ODE in terms of
is

The characteristic equation

has two roots at
and
, so the characteristic solution is

Solving in terms of
gives
