d-3-x-dt-3-27-d-2-x-dt-2-243-dx-dt-729x-t-e-9t-x-0-x-0-x-0-0-Use-Laplace-Transformation-to-solve-it-

Question Number 92524 by naka3546 last updated on 07/May/20

\frac{d^{3} x}{{d t}^{3}} + 27 \frac{d^{2} x}{{d t}^{2}} + 243 \frac{d x}{d t} + 729 x = t \cdot e^{- 9 t}

x (0) = x^{'} (0) = x^{^{″}} (0) = 0

U s e L a p l a c e T r a n s f o r m a t i o n t o s o l v e i t .