A differential equation is considered linear if you can write it in the form.
(a1)(x)[ (d^n)(y)/(dx)^n ] + (a2)(x){ [d^(n-1)][y]/[dx]^(n-1) ] + ... (a3)(x)[ (dy)/(dx) ] + (a4)(x)(y)
For example:
[ (d^4)(y)/(dx)^4 ] + [ (d^3)(y)/(dx)^3 ] + [ (d^2)(y)/(dx)^2 ] + [ (dy)/(dx) ] + y = cos(x)
y'' + 2y' – 8y = x^2 + cosx
(x)(y'')^3 + (y')^4 – y = 0
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Differential Equations (Notes, Lecture, and Examinations)
Non-FictionThis book contains the compilation of our notes, lecture notes and articles about Differential Equations. We are publishing this book to share our understanding about the subject matter. Please, kindly leave a vote if you find this book helpful. Tha...
