Linear or non linear differential equations Please help!

Question

anonymous · Answer

attachment

anonymous · Answer

Linear just means that the variable in an equation appears only with a power of one. So x is linear but x2 is non-linear. Also any function like cos(x) is non-linear.

anonymous · Answer

robz8, yeah that's pretty straight forward, however i am dealing with differentials and partial differentials here, it's tough to know the difference for me.

amistre64 · Answer

im a bit rusty, but i believe i see all these in terms of u, so as long as "u" is not powered up, or any of its derivatives .... particularly noticing that grad u thing

anonymous · Answer

@11430877

i know what you're talking about, it applies to ODE's and PDE's too....

abb0t · Answer

this looks like the heat equation. and that's partial differential equations.

abb0t · Answer

and heat equation is linear.

anonymous · Answer

all equations are linear except $$5^{th}$$ because the power $$u^{2}$$