Let x(1) = c,cos(5 t) +c ,sin(5 t) be a two-parameter family of solutions of the Let y =c,e*cos(5 x) +c,e*sin(5 x) be DE: x" + 25 x =0 a two-parameter family of solutions of the DE: If the boundary...

These are mcqs type questions so plz take your time and solve both questions plz it is just mcqs

Extracted text: Let x(1) = c,cos(5 t) +c ,sin(5 t) be a two-parameter family of solutions of the Let y =c,e*cos(5 x) +c,e*sin(5 x) be DE: x" + 25 x =0 a two-parameter family of solutions of the DE: If the boundary conditions are given as y" - 2y' +26 y = 0 follows: with the boundary conditions given by x(0) = 0, x() = 0. y(0) = 1, y(7n) =0. Then, the BVP has a unique solution. Then, what can we say about the solution(s) of the BVP? Select one: O True O False None of them O The BVP has infinitely many solutions O The BVP has no solution O The BVP has two solutions O The BVP has a unique solution