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I am trying to solve following differential equation $$\frac{d^2y}{dx^2}+(a+\frac{2}{\pi}b\hspace{3pt}\tan^{-1}x)\hspace{2pt}y=0$$ To solve it in mathematica I wrote the following code

s = ParametricNDSolveValue[{y''[x] + (a + b*((2/Pi)*ArcTan[x]))*
  y[x] == 0, y[-10] == Exp[I*10*Sqrt[a + b]], y'[-10] == (-I)*Sqrt[a + b]*Exp[I*10*Sqrt[a + b]]}, y, {x, -10, 10}, {a, b}]

but I am getting following error where am I making the mistake?enter image description here

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  • $\begingroup$ Works just fine. Try to Quit your Kernel and restart. Look at the last boundary condition, this evaluated to True $\endgroup$ – user21 Feb 26 at 9:42
  • $\begingroup$ @user21 thanks. So is it a normal practice to restart the kernel when faced with such problem? $\endgroup$ – aitfel Feb 26 at 9:45
  • $\begingroup$ @no. This just a quick test. Somewhere you defined something (a variable perhaps) that made the last bc evaluate to True. When you need to reuse a variable as a symbol use Clear or ClearAll $\endgroup$ – user21 Feb 26 at 9:52