Is the differential equation solvable?

  • Thread starter davedave
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  • #1
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Here is the question. Find the steady state solution of the differential equation below.

dy/dx = tan(x^2)

What makes this one difficult is that the tangent has no elementary function.

Can anyone explain how to find the steady state solution? Thanks.
 

Answers and Replies

  • #2
HallsofIvy
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The problem does not ask you to solve the equation. An "equilibrium" solution, or "steady state" solution for a problem like this is a constant function. That means that dx/dt= 0. So you only have to solve [itex]tan(x^2)= 0[/itex]. Of course, because tangent is a periodic function, there will be many solutions to that.
 

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