y'''' + 2y'' + y = 3t + 4, y(0)= y'(0) = 0, y''(0) = y'''(0)=1
Follow Math Help Forum on Facebook and Google+
Originally Posted by justin6mathhelp y'''' + 2y'' + y = 3t + 4, y(0)= y'(0) = 0, y''(0) = y'''(0)=1 The charachteristic equation is, Because the roots have multiplicity it means the general solution is, However, this only solves the equation . To finish the solution look for a particular solution which happens to be (for example) . Thus, the full solution is,
View Tag Cloud