(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Is this differential equation linear or nonlinear? Assume that y' means dy/dx.

2. Relevant equations

1. The problem statement, all variables and given/known data[/b]

Is this differential equation linear or nonlinear? Assume that y' means dy/dx.

2. Relevant equations

[itex]\sqrt{xy'+2x^{2}}[/itex]=5

3. The attempt at a solution

It seems to me that squaring both sides and subtracting 2x^{2}from both sides renders a linear equation:

xy' + 2x^{2}=25.

xy' = 25 - 2x^{2}

This is of the form

a_{n}(x)y^{(n)}+ a_{n-1}(x)y^{(n-1)}+ ... a_{0}(x)y=g(x)

if you take a_{0}= 0... isn't it?

The problem is that my professor says otherwise; namely, that it is a nonlinear DE.

Where am I making my mistake?

Thanks.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Linear or Nonlinear Differential Equation?

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