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Find the general solution of the following differential equations, and then find the particular solution which satisfies the stated extra condition. (a) Differential Equation

Find the general solution of the following differential equations, and then find the particular solution which satisfies the stated extra condition. (a) Differential Equation dx x+2 (b) (x + xy) = y (c) dx - y = e* sin(2x) dx Extra Condition y = 0 when x = -1 y = 1 when x = 2 y = 1 when x = 0 Technique Variable Separation Substitution [3 marks] [3 marks] Integrating Factor [4 Marks]

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