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  3. a) select all solutions of (d^2/dx^2)y(x)+64y(x)=0

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

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Verified Solution

Question

Advance Math

a)

Select all solutions of (d^2/dx^2)y(x)+64y(x)=0.

y(x)=3cos(8x)

y(x)=3cos(4x)

y(x)=C1sin(8x)+C2cos(8x)

y(x)=?4sin(8x)

y(x)=C2cos(8x)

b)

Select all solutions of (d^2/dx^2)y(x)+36y(x)=0.

y(x)=C2cos(3x)

y(x)=C1sin(3x)

y(x)=3cos(3x)

y(x)=3cos(6x)

y(x)=3sin(3x)+8cos(3x)

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