Answer:
a-
b-
c-
Step-by-step explanation:
a.7 y''-7 y =0
Auxillary equation


D=1,-1
Then , the solution of given differential equation

2.
Y=


Substitute in the given differential equation

Hence,
is not a solution of given differential equation
are also not a solution of given differential equation.
y=


Substitute the values in the differential equation

=
Hence,
is a solution of given differential equation.
c.



Substitute the values in the differential equation

Hence,
is a solution of given differential equation.
a-
b-
c-
If these both men were working at normal hours, and then, (John) worked "2 more hours" than Gary has, this would just mean that he has worked more.
x+2= x+2.
Now if John has worked the double amount, 4 more times than Gary's usual hours, this would mean something quite different.
Then the expression would look like, (x+2×4x)
We don't know how many hours are the "usual hours", this is what "x" would then represent.
John has then worked (4×2+x) more hours than Gary.
Your answer: (4×2+x)
Answer:
9. x = 16
10. x = 18
Step-by-step explanation:
9. 2x + 9 + 3x + 1 = 90
5x + 10 = 90
5x + 80
x = 16
10. 90 - 53 = 47
2x + 11 = 47
2x = 36
x = 18