Edtays5329 Edtays5329

11-01-2020
Mathematics

contestada

Prove that the function: y(x) = A cosx + B sin x(A and B are constants), is a solution to the differential equation.

Respuesta :

surjithayer10otahza surjithayer10otahza

11-01-2020

Answer:

Step-by-step explanation:

y=A cos x+B sin x

y'=-A sin x+B cos x

y''=-Acos x-B sin x=-(A cos x+B sin x)=-y

so y''=-y

y''+y=0

which is the reqd. diff. equation.

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