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physicsforum7
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Homework Statement
Is this differential equation linear or nonlinear? Assume that y' means dy/dx.
Homework Equations
1. Homework Statement [/b]
Is this differential equation linear or nonlinear? Assume that y' means dy/dx.
Homework Equations
[itex]\sqrt{xy'+2x2}[/itex]=5
The Attempt at a Solution
It seems to me that squaring both sides and subtracting 2x2 from both sides renders a linear equation:
xy' + 2x2=25.
xy' = 25 - 2x2
This is of the form
an(x)y(n) + an-1(x)y(n-1) + ... a0(x)y=g(x)
if you take a0 = 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.