1. (a) Find the partial differential equation by eliminating the arbitrary function from z = xfi (x + at) + f₂(x + at).
Posted: Thu Jul 07, 2022 2:23 pm
1. (a) Find the partial differential equation by eliminating the arbitrary function from z = xfi (x + at) + f₂(x + at). (b) Form the partial differential equation by eliminating the arbitrary constants a and b from z = alog[(-). 1-x 2. a)Solve (x+3xy²)p+(y² +3x²y)q=(x + y)²z b) Solve (D¹-7DD¹² -6D)z=sin(x+2y)+²*** 3. Using Fourier Transforms, solve the dimension nal heat equation du dt for a rod with insulated sides extending from too and with initial temperature distribution given by u(x,0)=f(x) and u(x,1)= 0 at x = 100.