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In: Advanced Math

A​ third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular...

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

y(3)+2y''-y'-2y=0; y(0)=1, y'(0)=2, y''(0)=0,

y1=ex , y2=e-x, y3=e-2x

Find the particular solution.

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