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math007
 5 years ago
how to solve a nonhomogeneous equation? I do not like to guess, is there another way I can solve these equations?
math007
 5 years ago
how to solve a nonhomogeneous equation? I do not like to guess, is there another way I can solve these equations?

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myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0yes you cannot solved every differential equation the same way

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0first let's pretend it is homogeneous. so we have r^22r3=0 which gives r=1 and r=3 so we have y=Ae^(3t)+Be^(t) for any constant. But this doesn't solve the homogeneous solution. So the only way I know how to solve this differential equation is to choose y=Ae^(2t) and find what A is. But this is that guessing thing you were talking about.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0oops y=Ce^(3t)+Be^(t)

Math007
 5 years ago
Best ResponseYou've already chosen the best response.0yes, I understand this much. Now the problem is finding the right side, the non homog. part. How do I go about solving the right side?
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