In Problems 39, 40, 41, 42, 43, and 44, y = c1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the second-order DE y" + 4y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. 39. y(0) = 0, y(T /4) = 3 %3D

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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In Problems 39, 40, 41, 42, 43, and 44, 
y=c1cos2x+c2sin2x is a two-parameter family of solutions of the second-order DE 
y″+4y=0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions.

y(0), y(pi/4)=3

please explain the steps so I can use the example as a study guide

In Problems 39, 40, 41, 42, 43, and 44, y = cq cos 2x + c2 sin 2x is a two-parameter
family of solutions of the second-order DE y" + 4y = 0. If possible, find a solution of
the differential equation that satisfies the given side conditions. The conditions
specified at two different points are called boundary conditions.
39. y(0) = 0, y(T/4) = 3
Transcribed Image Text:In Problems 39, 40, 41, 42, 43, and 44, y = cq cos 2x + c2 sin 2x is a two-parameter family of solutions of the second-order DE y" + 4y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. 39. y(0) = 0, y(T/4) = 3
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