solve 2 equations with two sympolic variables

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I want solve these equations with the same variables U10 and U20 because they are part of other code
2*U20 + sin(U20)
2*U10 + sin(U10 - 1) - 2

Answers (1)

Walter Roberson
Walter Roberson on 24 Feb 2023
Those are independent equations. Over the reals they have one solution each. U20=0, U10=1
  3 Comments
Askic V
Askic V on 24 Feb 2023
First of all those are NOT equations. The equation can be for example: 2*U20 + sin(U20) = 0
We can assume that you mean that both expressions are equal to zero.
If that is the case, the code is very simple:
syms U20
f = solve(2*U20 + sin(U20), U20)
Warning: Unable to solve symbolically. Returning a numeric solution using vpasolve.
f = 
0
So the solution is zero, just like Walter told you.
Walter Roberson
Walter Roberson on 24 Feb 2023
syms U20
f = (2*U20 + sin(U20))
f = 
fplot(f, [-pi pi]); xline(0); yline(0)
Exactly 0.

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