Suppose
is a solution to the ODE. Then
and
, and substituting these into the ODE gives

Then the particular solution to the ODE is

Answer:
9 cats
Step-by-step explanation:
x = cat
y = dog
Set up equations.
x + y = 30
4.5x + 8.5y = 219
Multiply first equation by 4.5 and subtract.
4.5x + 4.5y = 135
-(4.5x + 8.5y = 219)
-4y = -84
y = 21
Substitute this y value into the first equation
x + y = 30
x + 21 = 30
x = 9
Answer:
18750
Step-by-step explanation:
Factor out 3x
Answer: 3x(x - 5)
X. 0,2,6,4,8,10
Y. 2,0,2,4,6,8
It’s how far the number is from zero