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please answer the following, and choose the correct answer in the multiple choices: 1. Separation of Variables:Solve the equation * (2 Points) dy dx =

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please answer the following, and choose the correct answer in the multiple choices:

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1. Separation of Variables:Solve the equation * (2 Points) dy dx = X for x > 0 and y > 0 O y = cx2 Oy= = ex 2. Separation of Variables:Solve the equation * (2 Points) (1 + y ) dx + (1 + x2 ) dy = 0, if x =0, y= -1 Oxy + x + y + 1 =0 O xy - x - y- 1 =0

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