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B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a...

B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a solution satisfying the given initial conditions.

y''-2y'-3y=6 y(0)=3 y'(0) = 11 yc= C1e-x+C2e3x yp = -2

C. a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions

y'''+2y''-y'-2y=0, y(0) =1, y'(0) = 2, y''(0) = 0 y1=ex, y2=e-x,, y3= e-2x

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