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Entered Answer Preview Result Message c1*cos(2*x)+c2*sin(2*x) c1 cos(2x) + c2 sin(2x) correct (1/4)*cos(2*x)*log(cos(2*x))+(1/2)*x*sin(2*x) - cos(2x) log(cos(2x)) + ~x sin(2x) Your answer is missing an incorrect absolute value c1*cos(2*x)+c2*sin(2*x)+(1/4)*cos(2*x)*log(cos(2*x))+ (1/2)*x*sin(2*x) c1 cos(2x) + c2 sin(2x) + -cos(2x) log(cos(2x)) + ~x sin(2x) incorrect At least one of the answers above is NOT correct. (1 point) Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y" + 4y = sec(2x). a. Find the most general solution to the associated homogeneous differential equation. Use c, and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. In = c1cos(2x)+c2sin(2x) help (formulas) b. Find a particular solution to the nonhomogeneous differential equation y" + 4y = sec(2x) . yp = (1/4)cos(2x)log(cos(2x))+(1/2)xsin(2x) help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants. y = c1cos(2x)+c2sin(2x)+(1/4)cos(2x)log(cos(2x))+(1/2)xsin(2x) help (formulas)