(a) Solve the BVP given by the ODE x" + 9x'0 and the boundary conditions x(0) = 1 andx(π/3) -1. To do this, first solve the ODE, then use the boundary conditions. How manysolutions to this BVP did you find?=1=(b) If you wanted to obtain the exact same solution ä(t) you got in (a) from solving x" + 9x'but using initial conditions instead of boundary values, what initial conditions would you use¹?(c) Solve the BVP given by the ODE x" + 9xproblems) and the boundary conditions (0)BVP did you find?==0,0 (note the small difference with the previous1 and x(π/3) = −1. How many solutions to this=

Note: As per our guidelines, we can solve the first question as all your parts are not small. Please…

a) Solve the BVP given by the ODE x" + 9x' = 0 and the boundary conditions x(0) = 1 and x(π/3) = -1. To do this, first solve the ODE, then use the boundary conditions. How many solutions to this BVP did you find? 1 b) If you wanted to obtain the exact same solution x(t) you got in (a) from solving x" + 9x' = 0, but using initial conditions instead of boundary values, what initial conditions would you use¹? c) Solve the BVP given by the ODE x" + 9x = 0 (note the small difference with the previous problems) and the boundary conditions (0) = 1 and x(π/3) = -1. How many solutions to this BVP did you find?

a) Solve the BVP given by the ODE x" + 9x' = 0 and the boundary conditions x(0) = 1 and x(π/3) = -1. To do this, first solve the ODE, then use the boundary conditions. How many solutions to this BVP did you find? 1 b) If you wanted to obtain the exact same solution x(t) you got in (a) from solving x" + 9x' = 0, but using initial conditions instead of boundary values, what initial conditions would you use¹? c) Solve the BVP given by the ODE x" + 9x = 0 (note the small difference with the previous problems) and the boundary conditions (0) = 1 and x(π/3) = -1. How many solutions to this BVP did you find?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(a) Solve the BVP given by the ODE x" + 9x'
0 and the boundary conditions x(0) = 1 and
x(π/3) -1. To do this, first solve the ODE, then use the boundary conditions. How many
solutions to this BVP did you find?
=
1
=
(b) If you wanted to obtain the exact same solution ä(t) you got in (a) from solving x" + 9x'
but using initial conditions instead of boundary values, what initial conditions would you use¹?
(c) Solve the BVP given by the ODE x" + 9x
problems) and the boundary conditions (0)
BVP did you find?
=
=
0,
0 (note the small difference with the previous
1 and x(π/3) = −1. How many solutions to this
=

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