1. (a) Find the partial differential equation by eliminating the arbitrary function from z = xfi (x + at) + f₂(x + at).

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1 A Find The Partial Differential Equation By Eliminating The Arbitrary Function From Z Xfi X At F X At 1 (24.65 KiB) Viewed 83 times

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.