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this one is tricky. help please!
y''4y'+3y=2cosx+4sinx
i'm having trouble getting the Yp!
 one year ago
 one year ago
this one is tricky. help please! y''4y'+3y=2cosx+4sinx i'm having trouble getting the Yp!
 one year ago
 one year ago

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him1618Best ResponseYou've already chosen the best response.2
You can try substituting y = asinx + bcosx
 one year ago

ChmEBest ResponseYou've already chosen the best response.0
why would that help. I'm in diff eq as well and I wasn't thinking about that.
 one year ago

him1618Best ResponseYou've already chosen the best response.2
its called th method of undetermined coefficients
 one year ago

him1618Best ResponseYou've already chosen the best response.2
put it on the left side....compare with coeffs on the right fr etermining a a and b
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
isn't it y=a cos x + b sinx + cx cos x + dx sin x
 one year ago

him1618Best ResponseYou've already chosen the best response.2
that is for a special case i think
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
what are the roots anyway? +i, i aren't they like, twice? then it will be case 4?
 one year ago

ChmEBest ResponseYou've already chosen the best response.0
r^2  4r +3 = 0 (r  3)(r1) r= 3, 1
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
that is for the homo part
 one year ago

him1618Best ResponseYou've already chosen the best response.2
im telling you take y=asinx + bcosx substitute y'' and y' and y in the above eqn and compare LHS and RHS ull get 2 eqns in a and b determine a and b and you have your soln
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
i did that, i always get 0 for B. it's not supposed to be the answer.
 one year ago

him1618Best ResponseYou've already chosen the best response.2
im getting the answer as b=1, a=0 which means y=cos x y=cos x satisfies the above eqns
 one year ago

lilMissMindsetBest ResponseYou've already chosen the best response.0
oh sorry. i looked at the wrong answer on my book. i am sorry. Our answer is right. Thank you!
 one year ago
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