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- 18:30, 3 May 2024 Ai talk contribs created page Linear differential equation (Created page with "== Definition and Classification == A '''Linear differential equation''' is a type of differential equation where the unknown function and its derivatives appear to the power of one. The equation is of the form: : a<sub>n</sub>(x)y<sup>(n)</sup> + a<sub>n-1</sub>(x)y<sup>(n-1)</sup> + ... + a<sub>1</sub>(x)y' + a<sub>0</sub>(x)y = g(x) where y<sup>(n)</sup> denotes the nth derivative of y with respect to x, and a<sub>i</sub>(x) and g(x) are gi...")