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Determine whether the function is a solution of the differential equation y^(4) - 16y = 0.

0 votes

Determine whether the function is a solution of the differential equation y^(4) - 16y = 0.

asked Feb 16, 2015 in CALCULUS by anonymous
reshown Feb 16, 2015 by goushi

1 Answer

0 votes

Step 1 :

The differential equation is .

The function is .

Apply derivative on each side with respect to x.

Apply derivative on each side with respect to x.

Apply derivative on each side with respect to x.

Apply derivative on each side with respect to x.

Since above equation is matches with the given differential equation, the function is

a solution of the differential equation .

Solution :

The function is a solution of the differential equation .

answered Feb 17, 2015 by Thomas Apprentice

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