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# Determine whether the differential equation is linear.$y' - x = y \tan x$

## This is a linear differential equation

#### Topics

Differential Equations

### Discussion

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp

### Video Transcript

We know that a first order linear differential equation could be put in the form D y over Jax, which is the derivative plus pee vacs times. Why is Q of X Now? In this case, we know that we should try to rewrite this in the formula for first quarter linear differential equation so we can rewrite what we've been given in the original problem as y prime minus y te acts were simply bringing that over from the right hand side to the left hand side is equivalent to act. As you can see, this now falls the formula list in the textbook. Therefore, yes, it is a linear differential equation.

#### Topics

Differential Equations

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp