Solve for Parameters that Convert an Equation to an Identity - Maple Programming Help

Solve for Parameters that Convert an Equation to an Identity

 Description Determine coefficients in an equation so as to render the equation an identity in a specified interval.

Determine Parameters that Convert Equation to Identity

Enter an equation that is to become an identity:

 >
 $\frac{{2}{}{x}{+}{11}}{{10}{+}{3}{}{x}{-}{{x}}^{{2}}}{=}\frac{{a}}{{x}{+}{2}}{-}\frac{{b}}{{x}{-}{5}}$ (1)

Enter the variable in which the equation is to be an identity:

 > ${x}$
 ${x}$ (2)

Make a list of the coefficients (elements to be solved for):

 > $\left[{a}{,}{b}\right]$
 $\left[{a}{,}{b}\right]$ (3)

Solve for the coefficients:

 > $\mathrm{solve}\left(\mathrm{identity}\left(,\right),\right)$
 $\left[\left[{a}{=}{1}{,}{b}{=}{3}\right]\right]$ (4)

 > 
 Commands Used