U can change it by using the rule of logarithm.
log (10/y)= log10 - log y
y = the square root of (x-3)
Answer:
Step-by-step explanation:
None of them
A has (5, 13) and (5,17) That's 2 y values for the same x. You can't have that. A fails the vertical line test.
B has two y values for x = - 3. The two values are (-3,-1) and (-3,1). Both values eliminate B as an answer.
C fails because -1 has 2 y values (-4,52) and (-4,?) We can't see the bottom, but it is another value. There is an x value we cannot see that has 45 as an answer along with -7 for x. That's fine.
If there is a D answer, you almost have to choose it. There isn't much choice.
Let's check if the ODE is exact. To do that, we want to show that if

then

. We have


so the equation is indeed exact. We're looking for a solution of the form

. Computing the total differential yields the original ODE,


Integrate both sides of the first PDE with respect to

; then

where

is a function of

alone. Differentiate this with respect to

so that



So the solution to this ODE is

i.e.
Answer: B
Step-by-step explanation:
In order to isolate 'x', we can use the number 'e' to cancel the natural log. The 'e' will cancel the natural log because they are inverse to each other:

