Hi , I have no problem to solve but just a bit of confusion on what determines the linearity of an ODE.(adsbygoogle = window.adsbygoogle || []).push({});

Let's say the equation is (1 x^2) dy/dx + y = 0

Is it linear ? I would incline to say yes because the dependent variable and its derivatives are not in a product with each other but the square on the x makes me doubt the linearity or does it not matter at all? If it was (1-y^2), it wouldn't be linear because the coefficient has the dependent variable in it.

Thanks ,

GT

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# Question on Linearity

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