All numerical angles(phases) should be given in radian angles (not degrees). Given the differential equatic y" + 9y + 18y = 6cos(6t + 0.785398)u(t). a. Find the functional form of the complementary solution, Ye(t). Ye(t) = (C1e^(-3t)+C2e^(-6t))u(t) help (formulas) b. Find the particular solution, Yp(t). Yp(t) = .105cos(6t-1.107148881)u(t) help (formulas) C. Find the total solution, y(t) for the initial condition y(0) = 7 and y' (0) = 10. y(t) %3D help (formulas) %3D Note the answers are checked to an absolute accuracy of 0.01. part a and b are correct solve for part c.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.