Step-by-step explanation:
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Note that if
, then
, and so we can collapse the system of ODEs into a linear ODE:
which is a pretty standard linear ODE with constant coefficients. We have characteristic equation
so that the characteristic solution is
Now let's suppose the particular solution is
. Then
and so
Thus the general solution for
is
and you can find the solution
by simply differentiating
.
1+(1*4)=5
2+(2*5)=12
3+(3*6)= 21
5+(5*8)=45
Hope this helps
Answer:
x=-3
Step-by-step explanation:
Answer:
$3.57
Step-by-step explanation:
Multiply $23.80 by %15
Change %15 to a decimal by multiplying it by 100.
0.15 x $23.80= $3.57