Answer with Step-by-step explanation:
We are given that Laplace's equation
We have to determine given function is solution of given laplace's equation.
If a function is solution of given Laplace's equation then it satisfy the solution.
1.
Differentiate w.r.t x
Then, we get
Again differentiate w.r.t x
Now differentiate u w.r.t y
Again differentiate w.r.t y
Substitute the values in given Laplace's equation
Hence, given function is a solution of given Laplace's equation.
2.
Differentiate w.r.t x
Again differentiate w.r.t x
Now, differentiate u w.r.t y
Again differentiate w.r.t y
Substitute the values then we get
Hence, given function is a solution of given Laplace's equation.