How can I solve the equations for some variables which could exclude some specific variables?

expr1=('v0*(y2+y6+y5)- v2*y6-v5*y5 -v3*y9-v2*y7=0');

expr2=('v0*(y6)+v3*y8-v2*(y6+y8+y1+y7)= 0');

expr3=('v3*(y8+y9+y10)+v2*y8-v4*y10=0');

expr4=('v2*gm-v4*(y10+y11+y3) + v3*y10+v5*y11= 0');

expr5=('v0*(y5-gm)-v5*(y5+y4+y11)+ v4*y11=0');

above are the 5 equations that i want to solve to find the expression of v0 in the terms of y1, y2, y3---- y11 and gm excluding the terms like v2, v3, v4 and v5.

i created the expression as shown above and used symvar to generate the variables to be solved in the matlab equation solver using first with this -

S= solve(expr1, expr2, expr3, expr4, expr5, 'y2', 'y1', 'y3', 'y4', 'y5', 'y6', 'y7', 'y8', 'y9', 'y10', 'y11', 'v0')

and then with this

v0= solve(expr1, expr2, expr3, expr4, expr5, 'v2', 'v3', 'v4', 'v5', 'v0');

I don't know how to assign y1, y2-- y11 and gm so that matlab takes them as constants.

all i get is the warning saying: -

" Warning: 5 equations in 12 variables. New variables might be introduced".
"Explicit solution could not be found".

or a result something like this

s = 

      v0: [1x1 sym]
      v2: [1x1 sym]
      v3: [1x1 sym]
      v4: [1x1 sym]
      v5: [1x1 sym]

Is there any way to find the solution of v0 in the terms of y1, y2--- y11 and gm which are all constant and exclude the terms like v2, v3, v4, v5.

any help in this matter will be appreciated.

Answer 1

[Walter Roberson]

The solution to the equations is

v0 = 0
v2 = 0
v3 = 0
v4 = 0
v5 = 0

[Yogesh Kumar]

solution of v0 needed in terms of y1, y2, --- y11 and gm and v2, v3, v4, and v5 have to be omitted using the relations above.

[Walter Roberson]

Sorry, I should have written:

 v0 = 0*y1 + 0*y2  + 0*y3 + 0*y4 + 0*y5 + 0*y6 + 0*y7 + 0*y8 + 0*y9 + 0*y10 + 0*y11 + 0*gm;