Answer:
11/15
Step-by-step explanation:
2/5 + 1/3
6/15 + 5/15 (which are equivalent fractions of 2/5 and 1/3 respectively)
11/15
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:
1.02 as a decimal
1 and 1/50 as a fraction
Step-by-step explanation:
Answer:
SOLUTION #1
If the digits are allowed to repeat, the answer is 27. (There are three ways to fill digit 1, three ways to fill digit 2, and three ways to fill digit 3. Therefore, there are 3 x 3 x 3 = 27 possibilities.)
SOLUTION #2
If the digits are NOT allowed to repeat, the answer is 6. (There are three ways to fill digit 1, only two ways to fill digit 2, and only one way to fill digit 3. Therefore, there are 3 x 2 x 1 = 6 possibilities.)
Step-by-step explanation:
Hope this <em><u>Helped!</u></em> :D
Answer:
Step-by-step explanation:
(12-3)/2 = 9/2
(-5-3)/2= -8/2= -4
(9/2, -4)
