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Determine whether the differential equation is linear or nonlinear.$$\frac{d^{2} y}{d x^{2}}+e^{x} \frac{d y}{d x}=x^{2}$$.
linear
Calculus 2 / BC
Chapter 1
First-Order Differential Equations
Section 2
Basic Ideas and Terminology
Differential Equations
Missouri State University
Campbell University
Baylor University
Boston College
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in this problem. We want to decide if this linear or if this differential equation is linear in terms of why derivative of y and second derivative of why and so to do that we look and make sure the coefficients to each of our why derivative of y and second derivative of y terms are functions of X. And this is the case because one is a function of X, not a function of why eat of the axe is a function of X and not a function of why and X squared is a function of X and not a function of why. And so we have, um that this equation is a linear differential equation.
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