Hi prithvi,
I understan that you want to know why you are getting the given error.
The error you're encountering is due to trying to perform an operation that mixes symbolic and numeric computations in MATLAB. You are using 'sym' to define 'x' as symbolic variable and then defining 'y' as a symbolic expression in terms of 'x'. The variable 'h' is being used as a numeric array, but you're trying to assign a symbolic expression, 'y', to 'h(2)'.
To fix this error, you can define 'h' as a symbolic array from the start. Here is the edited code:
syms x; % Define x as a symbolic variable
y = 2*x - 1; % Define y as a symbolic expression
n = input('Enter the number of polynomials required: '); % Get the number of polynomials from the user
h = sym('h', [1 n]); % Initialize h as a symbolic array of size n
h(1) = 1; % Set the first Hermite polynomial
h(2) = 2*y; % Set the second Hermite polynomial
for i = 3:n
h(i) = 2*y*h(i-1) - 2*(i-2)*h(i-2); % Recurrence relation for Hermite polynomials
end
disp(h); % Display the Hermite polynomials
k = sym('k', [1 n]); % Initialize k as a symbolic array of size n
for i = 1:n
k(i) = (2/sqrt(pi))*h(i); % Scale the Hermite polynomials
end
disp(k); % Display the scaled Hermite polynomials
This will result in 'h' and 'k' both being a symbolic array. If you wish to evaluate these polynomials at specific numeric values, you can use the 'subs' function to substitute a numeric value for 'x'.
You can learn more about the 'subs' function here:
Hope this helps!
