Answer to Question #172950 in Differential Equations for Yudhvir singh

Question

dz/dx ×dz/dy -(dz/dy)^2=0 is a non-linear PDE. True or false? Justify.

Answer 1

answer:TRUE

A linear partial differential equation (PDE) is a equation in which order of equation is 1 and for all the elements (derivative) present in it..

and if not then it is known as non-linear partial diferential equation.

in the above given equation it is $\boxed{TRUE}$ that this is a non linear partial differential equation because it contains a term $\boxed{({dz\over dy})^2}$ which is not a linear term.

thus, makes it a non linear PDE.