Unformatted text preview: try would be y = Ax 2 + Bx + C but this doesn’t work. The reason is that one of the solutions of the homogeneous equation is y = 1, which also has the form y = Ax 2 + Bx + C . So what you have to do is multiply by x , trying for a particular solution of the form y = Ax 2 + Bx 2 + Cx . This works, and gives y =1 21 x 31 49 x 22 343 x , so the general solution is obtained by adding this to c 1 + c 2 e 7 x ....
View
Full Document
 Spring '07
 TERRELL,R
 Math, Differential Equations, Equations, Sets

Click to edit the document details