Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for the solution. 9y' + y = 0; y = e-x/9
When
y = e-x/9,
y'= ?
Thus, in terms of x,
9y' + y= ? + e-x/9
=?

The  result of the verification is : The indicated function is an explicit solution of the given differential equation

Step-by-step explanation:

From the question we are told that

The  given differential equation is  9y' + y = 0

  The  indicate solution is

Generally

So

For the  indicated function to be explicit solution of the given differential equation then the RHS and LHS of the above equation must be that same

Thus result of the verification is : The indicated function is an explicit solution of the given differential equation

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step-by-step explanation:

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