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I know how to graph the phase plane of a general solution but how do I graph the trajectory of the specific solution given below?
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Hey Physicsss. You know, I stated something incorrectly above regarding how to draw the slope field. I corrected it and hope that didn't cause confussion for you. Your plot looks Ok but it would be nice if you posted the ODE system. Also, it's a good idea to put an arrow at the end of the solution in order to identify the direction it's going.physicsss said:Does this look right?
Well, x1 and x2 are given in terms of t parametrically but we're graphing them as x2 in terms of x1. Calculate the derivatives of both then form the quotient:physicsss said:The original problem didn't give the ODE system, only eigenvectors and their associated eigenvalues...and just one question, how do you know it's a straight path? I thought it should be somewhat curved since it's a linear combination of two things...