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Mathematics, 17.10.2019 18:30 hixcatt05

2. for each of the ode, determine whether it is separable, linear or exact, and solve it. a) (10 points) dy-(y - 1) dx = 0. b) (20 points) - y=x2 sinx c) (20 points) (3x + 4xy)dx + (2x2 - 6y? )dy = 0 3. (15 points) verify that 3x2 - y2 = c is a one-parameter family of solutions of the ode v = 3x. (hint: use implicit derivation).

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