(e) u + tu = 1,u(x, 0) = f(x) Solve the t X following PDEs using the method of characteristics (e) u₁+tu× =1, u(x, 0) = f(x)
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- State the equation of f(x) if D = {x = R | x*} and the y-intercept is (0, 2). a) f(x)= x-1 3x - 2 b) f(x)= 2x+1 3x + 2 O c) f(x) = 2x+1 3x-2 d) f(x)= x+12/2 3x7- Differentiatei K(x)=(Vx)(5x²+1)³Find ∂y/∂x1 and ∂y/x2 y = 2x13 − 11x12x2 + 3x22 y = 7x1 + 6x1x22 - px23 y = (2x1 + 3)(x2 - 2) y = (5x1 + 3)(x2 - 2) y = (2x1 - 3x2) / (x1 + x2) y = (x12 - 1) / (x1x2)