It is like if you have two number lines. Then one has a pointer at 0, and the other one has the pointer facing at 2 then it will be lesser because the first one has 0 or if it turned around it would be greater. If it is equal then it would have the same number, but watch out if it is a negative number.
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8
Answer:
The meal was $16.00.
Step-by-step explanation:
since the equation for finding the tip is: decimal of percent times total bill, what you want to do is isolate the bill. you do this by dividing both sides by percent and your equation is total cost = tip/percent
let's say our total equation is x.
x=3.20/0.2
x=16
Now check your work.
Answer: 1/6
Step-by-step explanation:
Answer:
its called a frcaction
Step-by-step explanation:
