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

7Step-by-step explanation:- 2 - ( - 10 ) = - 2 + 10 = - 2 + 10 = ( 10 - 2 ) + ( - ) = 8 - = 7 + ( - ) = 7...

Prove that the function: y(x) = a cosx + b sin x(a

Ответ:

Zgt

14.01.2022

Mathematics

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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Ответ:

Har13526574

29.03.2022

Mathematics

7 $\frac{5}{6}$

Step-by-step explanation:

- 2 $\frac{1}{3}$ - ( - 10 $\frac{1}{6}$ ) = - 2 $\frac{1}{3}$ + 10 $\frac{1}{6}$ = - 2 $\frac{2}{6}$ + 10 $\frac{1}{6}$ = ( 10 - 2 ) + ( $\frac{1}{6}$ - $\frac{2}{6}$ ) = 8 - $\frac{1}{6}$ = 7 + ( $\frac{6}{6}$ - $\frac{1}{6}$ ) = 7 $\frac{5}{6}$

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

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