2.Linear Differential Equations of Higher Order Second-Order Linear Equations Recall a general second-order differential equation G(x,y,y,y")=0 It is linear provided that G is linear in the dependent variable y and y,y". A(x)y"+B(x)y+C(x)y=F(x) Example e'y"+(cosx)y/+(1+x)y=tan-Ix y"=yy y"+36y)2+4y3=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