MAE 340 Study Guide - Quiz Guide: Partial Differential Equation, Dependent And Independent Variables, The Roots

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Dependent variables - x. c dx dt + kx(t) = 5. Independent variable - t. dependent variable - x. d5x(y) dy5 + d2x(y) dy2 = 5e 2y. This is an lti but this is a partial differential equation. Independent variables - y, t. dependent vars - x. d2y dt2 + 6 d2x dt2 = 0. X + 9 x + 9x = 0. 2 + 9 + 9 = 0 (7) General solution can be written as the sum of the two homogenous solutions. A1 and a2 are constants determined from boundary conditions. x(t) = a1et 9+ 2 + + 9 = 0. General solution can be written as the sum of the two homogeneous solutions. A1 and a2 are constants determined from boundary conditions. x(t) = a1et 1+ j. Characteristic equation : - (put x(t) = ae t) X + 6 x + 11 x + 6x = 0. 3 + 6 2 + 11 + 6 = 0.

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