In your answers below, for the variable > type the word lambda; for the derivativeX(x) type X'; for the double derivativeX(x) type X"; etc. Separate variables in the following partial differential equation for u(x, t): t³urx + xUxt − xu₁ = 0 DE for X(x): = 0 • DE for T(t): 0 (Simplify your answers so that the highest derivative in each equation is positive.)
