solve 2 equations with two sympolic variables

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Adham Ahmed 2023-2-24

评论： Walter Roberson 2023-2-24

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

Walter Roberson 2023-2-24

Those are independent equations. Over the reals they have one solution each. U20=0, U10=1

Askic V 2023-2-24

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 =

So the solution is zero, just like Walter told you.

Walter Roberson 2023-2-24

syms U20

f = (2*U20 + sin(U20))

f =

fplot(f, [-pi pi]); xline(0); yline(0)

Exactly 0.

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