Recent content by sssssssssss

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    Laplace of a Unit Step Function

    Homework Statement f(t) = {0, if t<4 and (t-3)^3 if t\geq4 The Attempt at a Solution I feel like its pretty basic but i can't get it down I have u(t-4)(t-4)^3 Can i change it to u(t-4)^4? Then do i multiply it out and take the laplace? If someone can work it out for me that would...
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    Proving Power Set Notation: Let B \subseteq U

    i know! its so frustrating because my math teacher uses his own notation which is extremely dificult to decipher cause the book he assigned is different, and the internt has been consistently different! (i actually got it before I saw you posted but thanks for the reassurance!)
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    Proving Power Set Notation: Let B \subseteq U

    Alright I figured it out i think. Let B \subseteq U Set B = {b} and U = {P(B), u} P(B) = {empty set, {b}} P(U) = {empty set, {empty set, {b}}, {u}, {{empty set, {b}}, u}} Then i figured It was asking for the elements that are in set U that arent in set B P(B^{c}_{U}) = {empty set...
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    Proving Power Set Notation: Let B \subseteq U

    my actual problem is to let B be a subset of the set U and prove P(B^{C}_{U}) \neq (P(B))^{C}_{P(U)} but I am confused on the scripts and not quite sure what they are wanting me to do i have Let B \subseteq U where B = {b} and U = {B} I know P(B) = {empty set, {b}} and P(U) = {empty...
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    How do I solve the ODE: x(1-x^2)+ky^2/y?

    wouldnt the integrating factor be e^-kx?
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