Question: Help me pls. Practice for my finals, with full explanation 3] The auxiliary equation of the Linear Differential equation with real constant coefficients satisfied by

Help me pls. Practice for my finals, with full explanation

Help me pls. Practice for my finals, with full
3] The auxiliary equation of the Linear Differential equation with real constant coefficients satisfied by the equation y =4sinh 3x is (a) m3 - m2 + 36m - 36 = 0 ( b) m' + 36m = 0 (c) m3 - 81m = 0 (d) m3 - 36m = 0 4] The number of arbitrary constants in the general solution of the differential equation D3 ( D4 + 3D3 - 2D2 + 5)y = 0 is (a ) 3 (b ) 7 (c ) 4 (d ) 12 5] The particular solution of ( D4 ( D3 - 2D2 + 3D - 6)y = -16 is (a) YP= 2 (b) Up= =X5 (c) Up= x4 (d) yp= =x3 6] In the differential equation (D2 + 4)y = cot 2x, using Variation of Parameters method, the proposed particular solution is

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