Answer:
.
Step-by-step explanation:
Given homogeneous equation


Substitute y=ux , 

Now,




Integrating both side we get
lnu=-2lnx+lnC
Where lnC= integration constant


Cancel ln on both side

Substitute 
Then we get
xy=C
.
Answer:
.
Answer:
Looks right to me! Great work!
f(x) = 10x -5 and g(x) = (x+5)/10 are inverses of each other , Option D is the correct answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement which relates two variables , a dependent and an independent variable.
The inverse of a function is found by replacing every y by x and vice versa , and then solve for y
The equation
f(x) = 4/x - 3
or
y= 4/x -3
Replacing y by x
x = 4/y -3
x +3 = 4/y
y = 4/(x+3)
Which do not correlate with the given inverse
f(x) = 10x -5
y = 10x -5
for finding inverse
10y -5 = x
10y = x+5
y = (x+5)/10
g(x) = (x+5)/10
Therefore , Option D is the correct answer.
To know more about Function
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128 times 2 is 256 divided by 2 is 128 scoops of ice cream
The pattern is subtracting 9