Chapter 1 - First-Order Differential Equations - 1.2 Basic Ideas and Terminology - Problems - Page 21: 5

Linear

We have the defined form $a_o(x)y^{(n)}+a_1(x)y^{(n−1)}+...+a_n(x)y=F(x)$ and in this question the differential equation fits the defined form: $a_o(x)\frac{d^ny}{dx^n}+a_1(x)\frac{d^{n-1}y}{dx^{n-1}}+...+a_n(x)y=F(x)$ Therefore, the equation is linear.