Determine number/s that is/are comprised
of four distinct prime factors such that
difference of largest and smallest prime
factors is equal to the sum of remaining
two factors. _(Propsed by Rasheed Soomro)
Show that for any arbitary constants A and B
y = A(sinx + (1/x)cosx) + B(cosx − (1/x)sinx) satisfy
the differential equation (d^2 y/dx^2 ) + (1 − (2/x^2 ))y = 0