Answer:
{d,b}={4,3}
Step-by-step explanation:
[1] 11d + 17b = 95
[2] d + b = 7
Graphic Representation of the Equations :
17b + 11d = 95 b + d = 7
Solve by Substitution :
// Solve equation [2] for the variable b
[2] b = -d + 7
// Plug this in for variable b in equation [1]
[1] 11d + 17•(-d +7) = 95
[1] -6d = -24
// Solve equation [1] for the variable d
[1] 6d = 24
[1] d = 4
// By now we know this much :
d = 4
b = -d+7
// Use the d value to solve for b
b = -(4)+7 = 3
Solution :
{d,b} = {4,3}
Answer:
no solution
Step-by-step explanation:
hello
this is always false so there is no solution
You could do 30,30,20,20
Or 40,40,10,10
Or 45,45,5,5
Let
, so that
. Then the ODE becomes linear in
with
Find an integrating factor:
Multiply both sides of the ODE by
:
The left side can be consolidated as a derivative:
Integrate both sides with respect to
to get
where the right side can be computed with a simple substitution. Then
Back-substitute to solve for
.
