Maple soft, transcendental equations

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SUMMARY

The discussion centers on using Maple software to solve the transcendental equation sin(x) = x/2 over the range x = -3 to 3. The user successfully employs the fsolve function to find solutions within specific intervals but seeks a method to obtain all solutions simultaneously. The correct approach to achieve this is to utilize the fsolve function with the specified range, as shown: fsolve(sin(x) = (1/2)*x, x = -3 .. 3). This will yield all solutions in the defined interval.

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  • Familiarity with Maple software
  • Understanding of transcendental equations
  • Knowledge of the fsolve function in Maple
  • Basic concepts of numerical methods for solving equations
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  • Explore advanced features of the fsolve function in Maple
  • Learn about numerical methods for solving transcendental equations
  • Investigate the use of plotting functions in Maple to visualize solutions
  • Study the implications of solution intervals in numerical analysis
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Students, mathematicians, and engineers who are using Maple software for solving equations, particularly those dealing with transcendental equations and numerical methods.

jam12
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Hello guys, I am new to maple software and I am stuck on solving a simple transcendental equation:

sin(x)=x/2 over the range x=-3,...,3.

I know how to solve this equation for individual intervals, for example:
> fsolve(sin(x) = (1/2)*x, x = -3 .. -1);

> fsolve(sin(x) = (1/2)*x, x = -1 .. 1);

> fsolve(sin(x) = (1/2)*x, x = 1 .. 3);

However I want to solve it, so that it outputs all of the three solutions at once:

>fsolve(sin(x) = (1/2)*x, x = -3 .. 3);


Is this possible?
cheers
 
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