Solving equation using 'vpa' function
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I'm solving this eq: sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683)) using vpa function but cannot solve, and below are my coding:
syms x;
x = solve(sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683)));
vpa(x)
How can i solve this problem?
1 个评论
You can modify the code by assuming constraints on variable x as shown below
syms x;
assume(x >= 1.1556 & x < 5 )
warning('off')
sol = solve(sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683)),x);
double(vpa(sol))
回答（2 个）
syms x;
eqn = sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683))==0;
solve(eqn,x)
vpasolve(eqn,x)
The equation you have has multiple solutions, see plot below for reference.
If you want to return a particular solution, use vpasolve() with a specifc initial guess near that particular solution
syms x
eqn = sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683));
fplot(eqn, [-5 25])
yline(0)
out = double(vpasolve(eqn == 0, x, 4))
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2023-5-17
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