Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]y = 5sin3x[/tex]
Step-by-step explanation:
From the question we are told that
[tex]y = c_1\ cos3x + c_2 \ sin 3x[/tex]
given that y(0) = 0
We have that
[tex]c_1\ cos3(0) + c_2 \ sin 3(0) = 0[/tex]
=> [tex]c_1 = 0[/tex]
This means that
[tex]y = c_2 \ sin 3x[/tex]
We also given that
[tex]y[\frac{\pi}{6} ] = 5[/tex]
So
[tex]c_2 sin (3 * \frac{\pi}{6} ) = 5[/tex]
=> [tex]c_2 = 5[/tex]
Hence
[tex]y = 5sin3x[/tex]
