Hello, Is there any general formula for the partial fraction of the following function: [tex]\frac{1}{(ax_1+1)(ax_2+1)\cdots (ax_L+1)}[/tex] I can work for L=3, but it get involved for larger L!! Thanks in advance
Ok... from what ive understood, you want write [tex]\frac{1}{(ax_1+1)(ax_2+1)\cdots(ax_L+1)}[/tex] as [tex]\frac{c_1}{ax_1+1}+\frac{c_2}{ax_2+1}+\cdots+\frac{c_L}{ax_L+1}[/tex] where the c's are constants. My question is, what is the variable the c's must be independent of? a or x?
Problems involving partial fractions usually have one variable and many constants. From the appearance of your expression, I assume a is the variable and the x's are constants. In that case the c's will be determined by the x's.
yes, right. a is the variable and x's are the constants. I got the general solution expression. Thanks