Answer:
6x³
Step-by-step explanation:
X x X = x² + 4x + 2x = 6x³
4x - 4x - 5 = -5
4x - 4x = -5 + 5
0 = 0
this equation has infinite solutions
B=blue
g=green
r=red
2 times as many blue as green
b=2g
3 times as many red as blue
r=3b
subsitute 2g for b
r=3(2g)=6g
r=6g
r+g+b=765
so we subsitute
r=6g
g=g
b=2g
6g+g+2g=765
add like terms
9g=765
divide both sides by 9
g=85
subsitute
b=2b
b=2(85)
b=170
170 blue
1. I suppose the ODE is supposed to be

Solving for
gives

which is undefined when
. The interval of validity depends on what your initial value is. In this case, it's
, so the largest interval on which a solution can exist is
.
2. Separating the variables gives

Integrate both sides. On the left, we have

where we substituted
- or
- and
- or
.

On the right, we have


So




I'll leave the solution in this form for now to make solving for
easier. Given that
, we get



and so our solution is
