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Are the following differential equations linear? Explain your reasoning.$$y^{\prime}=x^{3}+e^{x}$$

Linear.

Calculus 2 / BC

Chapter 4

Introduction to Differential Equations

Section 5

First-order Linear Equations

Differential Equations

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Section four, not five. Problem to 11. I'm ask, is the differential equation that you see here Is this a linear differential equation? So the form is going to be why prime is equal to sorry. Why prime plus a function p of x times Why is equal to a function Q of axe. So, yeah, I can see this. In this case, if P of X is equal to zero, and cue of X is equal to X cubed plus e to the X, then, yes, this is a linear differential equation.

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