Given that y₁ (t) = cost is a solution to y'' - y' + y = sin t and y₂ (t) = is a solution to y'"-y'+y=e, use the superpo

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Given That Y T Cost Is A Solution To Y Y Y Sin T And Y T Is A Solution To Y Y Y E Use The Superpo 1 (15.25 KiB) Viewed 37 times

Given that y₁ (t) = cost is a solution to y'' - y' + y = sin t and y₂ (t) = is a solution to y'"-y'+y=e, use the superposition principle to find solutions to the differential equations 3 (a) y'-y' + y = 17 sin t A solution is y(t) = 2t (b) y'' -y' +y = 3 sint - 18 e ²t A solution is y(t) = (c) y''-y' + y = 7 sint + 24 e 2t A solution is y(t) =