1 Recall the E U Theorem for linear homogeneous ODEs a Let 6 if t 0 5 ift 0 if t 0 if t 0 on Find the general solution for the

Question

1 Recall the E U Theorem for linear homogeneous ODEs a Let 6 if t 0 5 ift 0 if t 0 if t 0 on Find the general solution for the equation y p t q t y 0 p t be a tB 0 What is the dimension of the solution space Why it doesn t contradict the uniqueness of solutions for second order linear equations b Let A t and 9 t 3 x 3 matrix of coefficients continuous on 1 2 9 6 4 5 Consider the linear ODE x A t x What is the dimension of solutions on

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