Answer to Question #213442 in Calculus for TONY

Question

4.The supply S and demand D for a particular commodity satisfy the equations

S(p)=100+p+p^t and D(p)=200-p-p^t

1. Find the equilibrium price p(t) at any time t
2. Find the long range equilibrium price
3. graph the particular solution p(0)=75 and p(0)=25 hence discuss the long term behaviour of the price of this commodity

5.find a series solution in powers of x of the equation

2x²d²y/dx²+xdy/dx+(x²-1)y=0