I'm trying to solve y''+3y'+2y=4e^x and have to solve it using variation of parameter. I can solve this using undetermined coeffiecenits but when i try solving using variation of parameter i dont get the same answer. can anyone help

Question

I'm trying to solve  y''+3y'+2y=4e^x and have to solve it using variation of parameter. I can solve this using undetermined coeffiecenits but when i try solving using variation of parameter i dont get the same answer. can anyone help

irishboy123 · Answer

i worked through this and have an answer that agrees with the computer. i haven't done these in ages, so i slavishly followed worked example 1 on Paul's Online Notes, which i adapted obviously. http://tutorial.math.lamar.edu/Classes/DE/VariationofParameters.aspx i'll keep my workings in case they are of any use to you - illegible but i can read from them. it seemed to go very smoothly. i get a general particular solution 2/3 e^x based on a Wronskian e^ -3x.

anonymous · Answer

Thank you for the help. I rechecked my work and found that i did my calculations wrong. I ended up getting the same answer. thanks so much for the help.

anonymous · Answer

thank you for the help. I just noticed i did my math wrong and i did get the same answer. thanks again.