5. a)Let y' = t and agaconsider a as a function of t. Using the chain rule, find ange's FODB is y-xp(1/)-g(y') = 0 Lagrange o d of dy/dt. fate Lagrange's DE with respect to t. Use the result of this Differen (b) Dire tion and that of (a) to arrive at [t-p(t)]x-px = q, where the dot dicates differentiation with respect to t. ) Find the t=p(t) and t (t). 23.6. Let u(z, y) = C be a solution of the DE M dx + N dy = 0. Show that: (parametric) solution of the DE, considering two separate cases: (b) ΓΒΌ(z,y) (du/az)/M is an integrating factor for the DE. 23.7. Use direct differentiation to show that the function given in Equation (23.12) solves the FOLDE of Equation (23.9)
