Question

Please help me determine whether the given differential equation is linear or nonlinear and give the order of the equation. click to see...

thanks

Answer 1

\[x^2dy+(y-xy-xe^x)dx=0\]

Answer 2

are any y parts have an exponent greater than 1?

Answer 3

\[x^2dy+(y-xy-xe^x)dx=0\]
\[x^2~y'+(y-xy-xe^x)=0\]
might be easier to see

Answer 4

the order relates to the highest derivative; wheres the linear aspect of it relates to the exponents and a few other things like trig functions and what not.