Question

Form the difference equation generated by yx=a2x+b3x+c. (5 marks)

Answer 1

Given $y(x)=a^2 x+b^3x+c = (a^2+b^3) x +c$ where $a,b,c$ are the parameter.

By differentiation with respect to $x$, we get $y' = a^2 + b^3$ .

Again differentiation with respect to $x$, we get $y'' = 0$ which is required differential generated by $y$ .