How to extract symbolic parts and corresponding constant values with division in symbolic polynomials?

if the polynomial function f is given like this, I can use coeffs function

syms x 
f = cos(x)+x;
[a,b]=coeffs(f)

a = 

b = 

However, if the function f is give as follows

syms x dxdt 
f=cos(x)/x+ (x+5)/(x+3);
[a,b]=coeffs(f)

it returns error.

The result I want to have it

a = [1 1 5]

b = [ cos(x)/x x/(x+3) 5/(x+3) ]

Would it be any way to return this result??

Best,

Answer 1

[Star Strider]

I cannot find any function that would return the desired result, however ther are other options, a few of which are —

syms x dxdt 
f=cos(x)/x+ (x+5)/(x+3)

f = 

pff = partfrac(f,x)

pff1 = 

ff = factor(f)

pff2 = 

cf = children(f)

cf = 1×2 cell array
    {[cos(x)/x]}    {[(x + 5)/(x + 3)]}

See Choose Function to Rearrange Expression for a list of all of them, with examples.

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