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P3.* Consider the ordinary differential equation: u” + 1 = 0. a) Show that this equation...

Question

P3.* Consider the ordinary differential equation: u” + 1 = 0. a) Show that this equation...

P3.* Consider the ordinary differential equation: u” + 1 = 0. a) Show that this equation together with the boundary condition

P3.* Consider the ordinary differential equation: u” + 1 = 0. a) Show that this equation together with the boundary conditions u(0) = 2, u(a) = 0 has no solution. b) Show that this equation together with the boundary conditions u(0) = 2, u(a) = –2 has infinitely many solutions.

Answers

u+1 = 0 + (n+1)x = 0 Auxilary eq. is m7120 → m=ti The sol. is u(x) = C, cass+asina à U10)=2 and u(x)= 0. => C= 2 and -9,20 →


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