Question

What is the Laplace transform of 2t^5 + 4t^2 + 3t + 2???

Answer 1

you can break it down right?
\[\mathcal L \{2t^5\} + \mathcal L \{4t^2\} + \mathcal L \{3t\} + \mathcal L\{2\}\]

Answer 2

then you can just take out the constants
\[2\mathcal L \{t^5\} + 4\mathcal L \{t^2\} + 3\mathcal L \{t\} + 2 \mathcal L\{1\}\]

Answer 3

That's what i had, just wanted to check i had done it right! Haven't got any answers for this paper :) Thank You

Answer 4

welcome ^_^ so i assume you know how to proceed from there right?

Answer 5

I've got
\[240/s ^{6} + 24/s ^{3} + 6/s ^{2} + 2/s\]
Does that look right?
So bad at maths!

Answer 6

the second term...why 24?

Answer 7

that's \[\huge 4 \mathcal L \{t^2\}\]
right? or did i write the exponent wrong?

Answer 8

the third term too..

Answer 9

it should be \[\Large` \mathcal L \{2t^5 + 4t^2+3t+2\} = \frac{240}{s^6} + \frac{8}{s^3} + \frac{3}{s^2} + \frac 2s\]

Answer 10

Thank You!!!! Laplace is doing my head in - you've been a huge help!

Answer 11

welcoem ^_^