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Solve dy dx = 2 cos 2x 3+2y , with y(0) = −1. (i) For what
values of x > 0 does the solution exist? (ii) For what value of x
> 0 is y(x) maximum? Notice that the derivative of y diverges
when y = −3/2, and that this may cause some problems with a
solution.

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Solve dy dx = 2 cos 2x 3+2y , with y(0) = −1. (i) For what values .docx

  • 1. Solve dy dx = 2 cos 2x 3+2y , with y(0) = −1. (i) For what values of x > 0 does the solution exist? (ii) For what value of x > 0 is y(x) maximum? Notice that the derivative of y diverges when y = −3/2, and that this may cause some problems with a solution.