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- Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2apply Jacobi's method to the given system.Take the zero vector as the initial approximation and work with four-significant- digit accuracy until two successive iterates agree within 0. 001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like. 3a + b = 1 a+ 4b+ c = 1 b + 3c = 1Calculate the first two vectors generated by the Gauss-Seidel method.
- apply Jacobi's method to the given system.Take the zero vector as the initial approximation and work with four-significant- digit accuracy until two successive iterates agree within 0. 001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like. 4.5a -0.5b = 1 a -3.5b = -1show that the solution y(t)=e^2tsin(t) is linearly independant.5)Find the terminal point of the vector that is equivalent to u = (1, 2) and whose initial point is A(1, 1).