Answer with explanation:
The given differential equation is
x²y" -7 x y' +1 6 y=0---------(1)
Let, y'=z
y"=z'

Substitution the value of y, y' and y" in equation (1)
→x²z' -7 x z+16 zx=0
→x² z' + 9 zx=0
→x (x z'+9 z)=0
→x=0 ∧ x z'+9 z=0

is another independent solution.where m and K are constant of integration.
Answer:
Large box weighs 18.25 kilograms
Small box weighs 15.25 kilograms
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small.
Let x = weight of large box.
Let y = weight of small box.
A delivery of 3 large boxes and 5 small boxes has a total weight of 131 kilograms. This means
3x + 5y = 131 - - - - - - - - - - -1
A delivery of 6 large boxes and 2 small boxes has a total weight of 140 kilograms.
This means 6x + 2y = 140 - - - - - - - 2
Solving equation 1 and equation 2 by elimination method,
Multiply equation 1 by 6 and equation 2 by 3
18x + 30y = 786
18x +6y = 420
24y = 366
y = 366/24 = 15.25
Put y = 15.25 in equation 1
3x + 5× 15.25 = 131
3x + 76.25 = 131
3x = 131 - 76.25
3x = 54.75
x = 54.75/3 = 18.25
If sqrt x is around 3.4
x=(3.4)(3.4)=11.56
So x is in between 11 and 12 or
11
Hope this can help.
Answer:
1 4/25 - 3/5, or 29/25 - 3/5, or 
it doesn't really matter they all mean the same
Step-by-step explanation:
1 2/5m - 3/5(2/5m + 1)
multiply first
1 2/5m - 6/25m - 3/5
multiply 1 2/5 only so the denominator is 25 as we can't simplify 6/25, it's so we can add them together, we can't add 3/5 tho bc it's a different term so there's no need to multiply that.
1 10/25m - 6/25m - 3/5
add/subtract
1 4/25m - 3/5
Answer:
4, 1, 6.
See explanation
Step-by-step explanation:
You are given the equation

First subtract
from both sides:

and multiply the equation by -1:

Now multiply (1) by 2:

At last, divide by 
