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11 Nov 2019
Consider the ODE xt2 - 3tx + 3x = 0. If we have two solutions x1(t) and x2(t) such that x1(1) = x1(1) = 1, x2(1) = 1 and x2(1) = 3, compute the Wronskian of x1(t) and x2(t). Verify that x1(t) = t is a solution of the ODE satisfying conditions given above. Find x2(t) and write out the general solution of the given ODE.
Consider the ODE xt2 - 3tx + 3x = 0. If we have two solutions x1(t) and x2(t) such that x1(1) = x1(1) = 1, x2(1) = 1 and x2(1) = 3, compute the Wronskian of x1(t) and x2(t). Verify that x1(t) = t is a solution of the ODE satisfying conditions given above. Find x2(t) and write out the general solution of the given ODE.
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Collen VonLv2
22 Oct 2019