Answer:
![y_p=A+Bt+Ce^{2t}](https://tex.z-dn.net/?f=y_p%3DA%2BBt%2BCe%5E%7B2t%7D)
Step-by-step explanation:
Given:
.
we need to find the correct form for
if the equation is solve using undetermined coefficients.
A first order differential equation
is said to be homogeneous if
for all t.
Consider homogeneous equation ![y''-2y'=0](https://tex.z-dn.net/?f=y%27%27-2y%27%3D0)
Let
be the solution .
We get ![(r^2-2r)e^{rt}=0](https://tex.z-dn.net/?f=%28r%5E2-2r%29e%5E%7Brt%7D%3D0)
Since
,
.
So, we get solution as ![y_c=c_1+c_2e^{2t}](https://tex.z-dn.net/?f=y_c%3Dc_1%2Bc_2e%5E%7B2t%7D)
As constant term and
are already in the R.H.S of equation
, we can take
as ![y_p=A+Bt+Ce^{2t}](https://tex.z-dn.net/?f=y_p%3DA%2BBt%2BCe%5E%7B2t%7D)
Answer:
X would have to equal 6. To work it out, you subtract 4 from each side to cancel out the 4. -x = -6. You have to make -x just x so you × each side by -1. You get x = 6.
Answer:
i think its slope and initial value, so sorry if its wrong
Step-by-step explanation:
Answer:
x = -2
y = 7
Step-by-step explanation:
x+y=5
y=7
x+y=5
x + 7 = 5
x = -2
x+y=5
-2 + y = 5
y = 7
Divide 10 by 25, which would get you 4. Move the decimal over two to the left, because you wanted a percentage.
Jenny gave away 40% of the roses.