1) For the ODEy' = cos² (x) cos² (2y),(a) Find/state all the values of the constant C so that y(x) = C for all x is a constant solution of theODE.(b) Solve the stated ODE as an initial value problem with y(0) = π/8.(c) For the solution in (b) what is limx→+∞ y(x) and limx→→→∞-∞ y(x)?

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Answered: For the ODE y' = cos² (x) cos ² (2y),…

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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For the ODE y' = cos² (x) cos ² (2y), (a) Find/state all the values of the constant C so that y(x) = C for all x is a constant solution of the ODE. (b) Solve the stated ODE as an initial value problem with y(0) = 7/8. (c) For the solution in (b) what is limx→+∞ y(x) and limx→∞ y(x)?