Question: 1. Solve the following Exact Differential Equation: (2ry? - 3)dx + (2x y + 4)dy = 0 (4) 2. Solve the following Exact Differential Equation

1. Solve the following Exact Differential Equation: (2ry? - 3)dx + (2x y + 4)dy = 0 (4) 2. Solve the following Exact Differential Equation with boundary value y(1) = 1: (x ty)'dx + (2xy + x2 - 1)dy = 0 (5) BRAC BRAC MAT 120 University SET: 12 3. Solve the following higher order differential equation given that y(0) = 1, y(1) = 0: y" - 10y' + 25y = 0 (6) 4. Solve the given differential equation by undetermined coefficient: y" - 4y' - 12y = sin(2t) (7) 5. Find the general solution of the given higher order homogeneous differential equation: y(5) + 5y(4) - 2y" -10y" +y' + 5y=0 (8)

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