Answer with Step-by-step explanation:
The given differential equation is

Now the above differential equation can be re-written as

Checking for exactness we should have



As we see that the 2 values are equal thus we conclude that the given differential equation is exact
The solution of exact differential equation is given by

The value of
can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

Answer:
T stands for time
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
● x-20 = y+20 (1)
● 2(y-22) = x+22 (2)
This is a system of simulataneous equations
Let's simplify the expressions first
● x -20 = y + 20 (1)
Add 20 to both sides
● x -20 + 20 = y+20 +20
● x = y + 40 (1)
● 2(y-22) = x+22 (2)
● 2y - 44 = x +22
Substrat 22 from both sides
● 2y-44-22 = x+22-22
● 2y -66 = x (2)
This is the new system:
● x = y+40 (1)
● x = 2y-66 (2)
Substract (2) from (1)
● x-x = y+40-(2y-66)
● y+40-2y+66 = 0
● -y +106 = 0
● y = 106
Replace y with 106 in (1)
● x = y +40
● x = 106+40
● x = 146
So the solutions are (146,106)
Answer:
SteIf -11 + N = -11 then N is the additive inverse because if we do process of elimination (POE) we can cross out C and D because this is a addition problem not a multiplication, and we know its not B because that's like 99 + 0 = 99 set, but instead its A because its just like -8 + 8 = 0. (If this was not a multiple choice question then tell me)