(10) Using u(x,t) = = √(A(p) (A(p) cos pr+ B(p) sin pre prle-p² dp obtain the integral form solution of J²u Ət² = сади მე2 satisfying the initial condition u(x, 0) = f(x), where f(x) = 1

2) Find the derivatives a) y = 7 - 6x-x² b) y = √³/ 8 = Jx of 18/18

Differentiate f(t) = (e-6t + sin(2 - t)) -9-

Consider the function. y = (2x² + 1)3 (a) Decompose the function in the form y = } {f(u), u} = dy = dx { dy (b) Find as a function of x. dx 12x (2x² + 1)² f(u) and u = g(x). (Use non-identity functions for f(u) and u.)