Both functions are the solution to the given Laplace solution.
Given Laplace's equation: 
- We must determine whether a given function is the solution to a given Laplace equation.
- If a function is a solution to a given Laplace's equation, it satisfies the solution.
(1) 
Differentiate with respect to x as follows:

Differentiate with respect to y as follows:

Supplement the values in the given Laplace equation.

The given function in this case is the solution to the given Laplace equation.
(2) 
Differentiate with respect to x as follows:

Differentiate with respect to y as follows:

Substitute the values to obtain:

The given function in this case is the solution to the given Laplace equation.
Therefore, both functions are the solution to the given Laplace solution.
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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)
Answer:
Simplifying
4p + -40 = 7(2p + 2)
Reorder the terms:
-40 + 4p = 7(2p + 2)
Reorder the terms:
-40 + 4p = 7(2 + 2p)
-40 + 4p = (2 * 7 + 2p * 7)
-40 + 4p = (14 + 14p)
Solving
-40 + 4p = 14 + 14p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-14p' to each side of the equation.
-40 + 4p + -14p = 14 + 14p + -14p
Combine like terms: 4p + -14p = -10p
-40 + -10p = 14 + 14p + -14p
Combine like terms: 14p + -14p = 0
-40 + -10p = 14 + 0
-40 + -10p = 14
Add '40' to each side of the equation.
-40 + 40 + -10p = 14 + 40
Combine like terms: -40 + 40 = 0
0 + -10p = 14 + 40
-10p = 14 + 40
Combine like terms: 14 + 40 = 54
-10p = 54
Divide each side by '-10'.
p = -5.4
Simplifying
p = -5.4
Step-by-step explanation:
brainliest????
Answer:
A.2 po
Step-by-step explanation:
himdi po ako sure sa answer ko
Answer:
f(x) = 29
Step-by-step explanation:
f(x)=23-(3x0)-(2X0)+6
f(x)=23+6
f(x)=29
Answer:
x = 128
Step-by-step explanation:
ill name the empty angle y for clarification
y + 38 + 90 = 180
y + 128 = 180
y = 52
180 - y = x
180 - 52 = x
x = 128