Help please

Find a particular solution of the given equation:

y"-5'+2y=(2-6x-2x^2) e^x

Question

Help please

Find a particular solution of the given equation: 

y"-5'+2y=(2-6x-2x^2) e^x

dumbcow · Answer

this would be more help than i could give http://www.wolframalpha.com/input/?i=y%27%27-5y%27%2B2y+%3D+2e^x%281-3x-x^2%29 if you register with site you can see step-by-step solution also to get particular solution you need initial values?

dumbcow · Answer

to get you started, always solve the characteristic equation
r^2 -5r +2 = 0
$$r = \frac{5 \pm \sqrt{17}}{2}$$

anonymous · Answer

As for the particular solution, as a guess, try
$$y_p=e^x(Ax^2+Bx+C)$$

anonymous · Answer

You might need "variation of parameters" here.