Question: :if:+7m'+1023=0. (a) Solve this ODE by substituting in Mt) = 8M and nding roots of the characteristic polynomial. (b) Now, write this second order ODE

:if:+7m'+1023=0. (a) Solve this ODE by substituting in Mt) = 8M and nding roots of the characteristic polynomial. (b) Now, write this second order ODE as a system of first order equations, )1; = Ax, by intro- ducing a new variable v : i\". Solve the linear system by decomposing the matrix A into the eigenvalues and eigenvectors. Hint: computing the inverse of the matrix of eigenvectors is easier if they are not normalized (i.e., both of my eigenvectors have integer entries)

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