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Please find MAPLE COMMAND/FORMULA FOR Y1 3b. Solution of Initial Value Problems for First Order Systems. The general solu tion of the system of differential
Please find MAPLE COMMAND/FORMULA FOR Y1
3b. Solution of Initial Value Problems for First Order Systems. The general solu tion of the system of differential equations presented in the form y- Ay can be written in the form y-??.1 ci ex. ty', where ci are arbitrary constants and ??, ,?n and y, ,y" are the eigenvalues and corresponding eigenvectors of the matrix A, assuming that ??,?n are distinct. To satisfy the initial condition y(0)-yo, we solve the linear system Je-yo, where ? is the (fundamental) matrix whose columns are the eigenvectors y?, . . . . ?? and c is a column vector with entries ci,...,Cn- The followig Maple mnds, innded in your workslcet, solve for c: for the problem wheu A is the matrix M2 of part (a) and y(0) = (2,-1,3)T and compute the diagonal matrix Ma?s2. whose diagonal entries are eAi, eA2t, eAst, where the ?? are the eigenvalues Vals2 of the matrix M2. cLinearSolve(Vecs2, ); MVals2: ,); MVals2: ,Step by Step Solution
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