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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

If y(x) satisfies the differential equation dy dx = 2x + 3y x and y ( 2 ) = 2 then which of the following statement(s) is/are correct?

Options

  1. Ay ( 6 ) = 0
  2. By' ( 3 ) = 9 - 3 2 2
  3. Cy(x) increases in the interval
  4. D_ - /2 ^ /2 y(x) dx = x .

Correct answer

A. y ( 6 ) = 0

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