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Differential equation with trascendental solution

Posted 6 years ago
3 Replies

Leonardo,

You can use NDSolve to get the numerical solution and plot that. I notice you do not give the initial conditions, you can use ParametricNDSolve to give different solutions for a variety of starting points.

Regards,

Neil

POSTED BY: Neil Singer

Solve will not give solutions for y in terms of symbolic x, but you get a solution for y when x is numeric:

explicitSol[x_] := 
  y /. Solve[E^(2 y) x - Sin[x y] + y^2 == 2 && 0 < y < 1, y];
Plot[explicitSol[x], {x, 0, 1}]
POSTED BY: Gianluca Gorni

Thanks a lot!

Wasn't what I was looking for, but it helps!

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