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I want to solve an ODE in Mathematica, but there is no response.

This is the code I used:

eqn = x'[y] - c + a x[y] Sin[y - y0]  == 0;
sol = DSolve[eqn, x, y]

Could anyone help me? Is there another function that solves the problem?

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1 Answer 1

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DSolve is hanging on a definite integral with symbolic parameters. We can temporarily inactivate and reactivate Integrate, which in this case causes DSolve to return an indefinite integral that doesn't hang.

eqn = x'[y] - c + a x[y] Sin[y - y0]  == 0;

Block[{Integrate = Inactive[Integrate]},
  DSolve[eqn, x[y], y]
] // Activate

enter image description here

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  • $\begingroup$ What is C[1] in te final answer? $\endgroup$
    – sara nj
    Nov 8, 2016 at 11:41
  • $\begingroup$ @saranj it's an arbitrary constant. It's there because you had no initial condition. $\endgroup$
    – Greg Hurst
    Nov 8, 2016 at 13:46

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