In: Advanced Math
a)
Select all solutions of (d^2/dx^2)y(x)+64y(x)=0.
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 y(x)=3cos(8x)  | 
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 y(x)=3cos(4x)  | 
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 y(x)=C1sin(8x)+C2cos(8x)  | 
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 y(x)=−4sin(8x)  | 
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 y(x)=C2cos(8x)  | 
b)
Select all solutions of (d^2/dx^2)y(x)+36y(x)=0.
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 y(x)=C2cos(3x)  | 
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 y(x)=C1sin(3x)  | 
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 y(x)=3cos(3x)  | 
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 y(x)=3cos(6x)  | 
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 y(x)=3sin(3x)+8cos(3x)  |