TT Variation of Parameters: Problem $1$

$(1$ point$)$

Results for this submission

$2$ of the answers are NOT correct.

Solve the following differential equation by variation of parameters. Fully evaluate all integrals.

$y^{\text{'}\text{'}}+16y=sec(4x)$

a$.$ Find the most general solution to the associated homogeneous differential equation. Use $c_1$ and $c_2$ in your answer to denote arbitrary constants, and enter them as c$1$ and c$2.$

$y_n-V$

b$.$ Find a particular solution to the nonhomogeneous differential equation $y^{\text{'}\text{'}}+16y=sec(4x).$

$v_p=$

c$.$ Find the most general solution to the original nonhomogeneous differential equation. Use $c_1$ and $c_2$ in your answer to denote arbitrary constants.

Note: You can earn partial credir on this problem.

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DUE TONIGHT NEED HELP ASAP!!!