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Nonlinear-Equations-Exercises-Solutions

# Nonlinear-Equations-Exercises-Solutions - a 1 b 1...

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Exercise Starting from the interval [ a 0 , b 0 ] = [ 1 . 8 , 1 . 9 ] , use the bisection method to identify the interval [ a 1 , b 1 ] bracketing a solution of the equation e x + 2 - x + 2 cos x = 6.

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Exercise Starting from the initial iterate x 0 = 1 . 8, use Newton’s method to ﬁnd the next iterate x 1 approximating a solution of the equation e x + 2 - x + 2 cos x = 6.
Exercise Starting from the initial iterates x 0 = 1 . 8 and x 1 = 1 . 9, use the secant method to ﬁnd the iterate x 2 approximating a solution of the equation e x + 2 - x + 2 cos x = 6.

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Exercise Supposed you wish to solve the equation e x + 2 - x + 2 cos x = 6 using MATLAB . Write the relevant commands you would use (using an anonymous function) to ﬁnd a solution near x 0 = 1 . 8.
Exercise Starting from the interval [ a 0 , b 0 ] = [ 0 . 9 , 1 ] , use the bisection method to identify the interval

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Unformatted text preview: [ a 1 , b 1 ] bracketing a solution of the equation sin x + 4 = 5 x . Exercise Starting from the initial iterate x = 1, use Newton’s method to ﬁnd the next iterate x 1 approximating a solution of the equation sin x + 4 = 5 x . Exercise Starting from the initial iterates x = . 9 and x 1 = 1, use the secant method to ﬁnd the iterate x 2 approximating a solution of the equation sin x + 4 = 5 x . Exercise Supposed you wish to solve the equation sin x + 4 = 5 x using MATLAB . Write the relevant commands you would use (using an anonymous function) to ﬁnd a solution near x = 1....
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Nonlinear-Equations-Exercises-Solutions - a 1 b 1...

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