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

.