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Manipulate a Plot of Evaluate DSolve

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  • Subject: [mg127492] Manipulate a Plot of Evaluate DSolve
  • From: barandiaran.juan at
  • Date: Sun, 29 Jul 2012 03:05:21 -0400 (EDT)
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I'm trying to Manipulate a Plot of a quite difficult function which involves solving a differential equation, but cannot be solved analytically.

To try to simplify the example and simulate it, let's assume that we have the following function:

func[coef_] = {{y -> Function[{x}, DSolve[y'[x] == Cos[coef *x], y, x]]}} 

Manipulate[Plot[{{Evaluate[y[x] /. func[coef] /. C[1] -> {Range[-5, 0]}]}}, {x, -10, 10}], {{coef , 1}, 0.1, 5}] 

I get an error: DSolve::dsvar: "-9.99959 cannot be used as a variable" 

I think that this is because Manipulate assigns a value to x (= -9.99959) BEFORE solving the DSolve, even though to avoid it I'm using the Evaluate function, which should process the function before assigning a value to x.

But the thing is that the "coef" to be Manipulated is at the same "level" as the x in the Manipulate block, so probably if I need the coef to solve the DSolve, I also have the x that gives me an error.
Is there any workaround? I guess I'm not understanding properly how Mathematica processes these simple expressions.

Thanks, Juan 

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