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Math Help - differential eqn generation

  1. #1
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    differential eqn generation

    y=(x^100)*(e^x)

    what will be the differential equation if the above is one of its solution
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  2. #2
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    Re: differential eqn generation

    Why not differentiate the function you have been given? That would be appropriate since a differential equation is an equation that has derivatives in it...
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  3. #3
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    Re: differential eqn generation

    how to find the derivatives of this
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  4. #4
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    Re: differential eqn generation

    Take a Calculus course! Then you will learn that the derivative of e^x is simply e^x, that the derivative of x^n is nx^{n-1} for all n except n= 1, and the "product rule": the derivative of f(x)g(x) is the derivative of f(x) times g(x) plus f(x) times the derivative of g(x)- (fg)'= f'g+ fg'.
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  5. #5
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    Re: differential eqn generation

    y= f(x) satisfies the DE y'=f'(x). For ex, if y=x^2, the DE is dy/dx = 2x.

    That's the crux of the question. The actual differentiatin should be trivial.
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