Answer:
my putyy
Step-by-step explanation:
ong its my putty hehehe
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
Step-by-step explanation:
![\tt{30.16 = 17.56 + 5x}](https://tex.z-dn.net/?f=%20%5Ctt%7B30.16%20%3D%2017.56%20%2B%205x%7D%20)
Swap the sides of the equation :
⤑ ![\tt{17.56 + 5x = 30.16}](https://tex.z-dn.net/?f=%20%5Ctt%7B17.56%20%2B%205x%20%3D%2030.16%7D)
We want to remove the 17.56 first.
Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :
⤑ ![\tt{5x + 17.56 - 17.56 = 30.16 - 17.56}](https://tex.z-dn.net/?f=%20%5Ctt%7B5x%20%2B%2017.56%20-%2017.56%20%3D%2030.16%20-%2017.56%7D)
Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.
⤑ ![\tt{5x = 12.6}](https://tex.z-dn.net/?f=%20%5Ctt%7B5x%20%3D%2012.6%7D)
Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.
⤑ ![\tt{ \frac{5x}{5} = \frac{12.6}{5}}](https://tex.z-dn.net/?f=%20%5Ctt%7B%20%5Cfrac%7B5x%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B12.6%7D%7B5%7D%7D%20)
Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.
![\pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}](https://tex.z-dn.net/?f=%20%5Cpink%7B%20%5Cboxed%7B%20%5Cboxed%20%7B%20%5Ctt%7BOur%20%5C%3A%20final%20%5C%3A%20answer%20%3A%20%20%5Cunderline%7B%20%5Cunderline%7B%20%5Cbold%7B%20%5Ctt%7Bx%20%3D%202.52%7D%7D%7D%7D%7D%7D%7D%7D)
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Yes cookies
Are all about the man
Answer: 698 699 700
Step-by-step explanation:
Because if you add the 3 of the numbers you get 2097