Respuesta :

Try this solution (see the attachment).
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The solution to the differential equation that satisfied the given initial condition is: y = - 9a. See the solution below.

What is a differential equation?

A differential equation is a type of equation that comprises at least one derivative related to a function.

The solution to the question above is given as follows:

Step 1  - State the problem

The problem is given as  - y′ tan(x) = 9a + y, y(π / 3) = 9a, 0 < x < π / 2

See the next steps in the attached.

Learn more about differential equations at:
https://brainly.com/question/1164377
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