Vector Algebra

Question

In the following, verify that the given functions, (explicit or implicit) is a solution of the corresponding differential equation:
y = cos x + C              :  y' + sinx = 0
                    

Answer

y = cos x + C
∴ y' = – sin x
⇒    y' + sin x = 0
∴ y = cos x + C is a solution of y' + sin x = 0

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