- #1

Elbobo

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## Homework Statement

Verify whether or not the operator

[tex]L(u) = u_x + u_y + 1[/tex]

is linear.

## Homework Equations

An operator

*L*is linear if for any functions

*u, v*and any constants

*c*, the property

[tex]L(c_1 u + c_2 v) = c_1 L(u) + c_2 L(v)[/tex]

holds true.

## The Attempt at a Solution

I feel as though this should be a linear operator, but the "+1" throws me off as I don't know what linear operator takes any function

*u, v*into 1.

[tex]L = \frac{\partial}{\partial x} + \frac{\partial}{\partial y} + ?[/tex]

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