Toronto Math Forum
MAT2442018F => MAT244Lectures & Home Assignments => Topic started by: Zifeng Zhu on September 18, 2018, 07:28:31 PM

Is $xy' = 1$ a linear differential equation or not? Thanks

This equation is in the form of $a_0(x)y^{(n)} + a_1(x)y^{(n1)} + ... + a_n(x)y = g(x)$. Therefore, $xy'=1$ is a linear equation.

Thanks, cuz there is a website where the answer is no, so I asked to make sure

Maybe in that website independent variable is $t$ and $x$, $y$ are the dependent variables. That could be why it's said to be nonlinear.

Thanks, cuz there is a website where the answer is no, so I asked to make sure
References to "some website" do not cut. You need to provide link to it, so that we can learn if the website claims wrong or you just misunderstood what was written there.