**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 3-1 49 x 2-2 343 x , so the general solution is obtained by adding this to c 1 + c 2 e 7 x ....

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- Spring '07
- TERRELL,R
- Math, Differential Equations, Equations, Sets