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

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him1618 Group TitleBest ResponseYou've already chosen the best response.2
You can try substituting y = asinx + bcosx
 2 years ago

ChmE Group TitleBest 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.
 2 years ago

him1618 Group TitleBest ResponseYou've already chosen the best response.2
its called th method of undetermined coefficients
 2 years ago

him1618 Group TitleBest 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
 2 years ago

lilMissMindset Group TitleBest ResponseYou've already chosen the best response.0
isn't it y=a cos x + b sinx + cx cos x + dx sin x
 2 years ago

him1618 Group TitleBest ResponseYou've already chosen the best response.2
that is for a special case i think
 2 years ago

lilMissMindset Group TitleBest 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?
 2 years ago

ChmE Group TitleBest ResponseYou've already chosen the best response.0
r^2  4r +3 = 0 (r  3)(r1) r= 3, 1
 2 years ago

lilMissMindset Group TitleBest ResponseYou've already chosen the best response.0
that is for the homo part
 2 years ago

him1618 Group TitleBest 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
 2 years ago

lilMissMindset Group TitleBest 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.
 2 years ago

him1618 Group TitleBest 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
 2 years ago

lilMissMindset Group TitleBest 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!
 2 years ago

him1618 Group TitleBest ResponseYou've already chosen the best response.2
Your welcome
 2 years ago
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