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(Solved): A? Third-order Homogeneous Linear Equation And Three Linearly Independent Solutions Are Given Belo ...

19. x3 y(3) – 3x2 y + 6xy – 6y = 0; y(1) = 6, y(1) = 14, y (1) = 22; y? = x, y2 = x2, y3 = x3

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

19. x3 y(3) – 3x2 y" + 6xy' – 6y = 0; y(1) = 6, y'(1) = 14, y" (1) = 22; y? = x, y2 = x2, y3 = x3

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