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DE with a constantby phiby
Tags: constant 
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#1
May1312, 10:50 PM

P: 77

My math is a little rusty  so please bear with me if this is a stupid question.
I know how to solve both homogenous and nonhomogenous DEs However, I am not sure where a DE with a constant falls & how to solve it. For eg. y'' + 2y' + c = 0 (c is a constant). You cannot convert this into an algebraic equation in r like you do for regular homogenous DEs. So what's the method for solving this? If this is a different category of DEs (i.e. neither homo nor nonhomo), then even giving me the name of this type of DE is good enough  I can google and find the method. An example of this type of DE is a bar loaded with a uniformly distributed load of f. The DE is AEu'' + f = 0 u > deflection. f is a constant. 


#2
May1312, 11:12 PM

P: 87

You can solve the equation y'' + 2y' = c. This is a non homogenous equation where the nonhomogenous part is a constant. So the general solution is
((c x)/2)  1/2 exp(2 x) C[1] + C[2] where C[1] and C[2] are constants. 


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