Question: * verify by substitution that the given functions are solutions of the given differential equation. Note that any primes denote derivatives with respect to x

 * verify by substitution that the given functions are solutions of

* verify by substitution that the given functions are solutions of the given differential equation. Note that any primes denote derivatives with respect to x . y " + 6 4 4 = 0, 9 = Cos 8 x , y = Sin 8x what step should you take for each given function to verify that it is a solution to the given differential equation. start with y = cos 8 x ; find the first and second (y" ) derivative of y, ? substitute the apprate appropriate expressions of y" and y into the differential equation: (4")+ 69 (4)=0 How Can this result be used to verify that y = cs8x is a solution of y " + 64 4 = 0? Now, verify that y = Sin 8 x is a solution using integrate or differentiate the function as needed . " substitute the appropriate expressions of y"and y into the differential equation : ( ? ) +64 ( ) = 0

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