Solving equation using 'vpa' function

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Tan
Tan 2023-5-17
编辑： Dyuman Joshi 2023-5-17
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
VBBV
VBBV 2023-5-17
编辑：VBBV 2023-5-17
Ran in:
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))
ans = 4.4275

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回答（2 个）

KSSV
KSSV 2023-5-17
Ran in:
syms x;
eqn = sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683))==0;
solve(eqn,x)
Warning: Unable to solve symbolically. Returning a numeric solution using vpasolve.
ans = 
0.00000000000055271527457236056353377918317335
vpasolve(eqn,x)
ans = 
0.00000000000055271527457236056353377918317335
Dyuman Joshi
Dyuman Joshi 2023-5-17
编辑：Dyuman Joshi 2023-5-17
Ran in:
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))
out = 4.4275

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