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2.Linear Differential Equations of Higher Order 4口卡0y4主,元,2只02. Linear Differential Equations of Higher Order Second-Order Linear Equations Recall a general second-order differential equation G(x, y, y 0 , y 00 ) = 0 It is linear provided that G is linear in the dependent variable y and y 0 , y 00 . A(x)y 00 +B(x)y 0 +C(x)y = F(x) Example e x y 00 + (cos x)y 0 + (1+x)y = tan −1 x y 00 = yy 0 y 00 +3(y 0 ) 2 +4y 3 = 0
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