The given ODE
is exact if . It so happens that we have , so it is indeed exact. For such an ODE, we're looking for a solution of the form , for which the differential is
so we have the following system of PDEs that allow us to solve for :
In the first PDE, we can integrate both sides with respect to and recover :
Then differentiating this with respect to returns :
So the general solution to the ODE is
or simply
Answer:
Correct. They have, in total, 1/3lbs of cake. To divide that equally to three people, we divide 1/3 by 3, or multiply 1/3 by 1/3, and get 1/9lbs per person.
Step-by-step explanation:
I haven't touched on mean, mode, medium, and range in a little while so I could be wrong, but if (mean) means average, i think average is adding 2 grades together then dividing the number of exams, so the average needs to be 90, so what I did was i found the difference between the original grade on the first exam, so 90-86=4, so i guessed at 94 being the next grade needed. (86+94)/2=90. 86+94=180 then divide 180 by 2 and it equals 90. so yeah your answer is 94.
Step-by-step explanation:
you could multiply 3 by everything to get rid of the fraction but you would still have to the equation after multiplying