= 3. Consider the BVP ut = Urr for 0 0 (Robin Boundary Conditions). Looking for special solutions, suppose that u(x, t) = A(t)y(), with A and y not identically zero, and identify an ODE for A and a regular Sturm-Liouville Problem for y with common parameter 1 to which the BVP is equivalent in this case. 6. Show that the regular SLP you found in Exercise 3 has at least one negative eigenvalue X-1.023 Please answer these 2 questions step by step, and these are questions of Applied Partial Differential Equations. Thanks a lot! = 3. Consider the BVP ut = Urr for 0 0 (Robin Boundary Conditions). Looking for special solutions, suppose that u(x, t) = A(t)y(), with A and y not identically zero, and identify an ODE for A and a regular Sturm-Liouville Problem for y with common parameter 1 to which the BVP is equivalent in this case. 6. Show that the regular SLP you found in Exercise 3 has at least one negative eigenvalue X-1.023 Please answer these 2 questions step by step, and these are questions of Applied Partial Differential Equations. Thanks a lot