Question

Use Laplace transforms to solve the problems in Exercise. A 500-gal tank contains 200 gal fresh water. A saltwater water solu

0 0
Add a comment Improve this question Transcribed image text
Answer #1


Let the amount of Salt in the tank at any time t is χ(t), then using the equation rate of change of amount of salt 4 gal miConsider the differential equation, dt 50 Take Laplace transporm on both sides 50 dt 2 S + 2 2 50 S50 50X = 100 Take the inverse Laplace transform on both sides, gives = 100 | 1-. exp(- 10t) 50 for tlo, 10 hus, the amount op salt50 100 ĺ 1-exp (-i] = c: , say Here, χ (0) So 50 C1 50 1 0 50 Take the inverse Laplace transform on both sides, gives S+1 50ie. t)50 + (Cj-50) exp C,- 100 [ 1-exp(-t)) G,-50- 50-00 exp-) :50 [ 1-2exp(- )] x(t)-50 + so [1-2exp(-钊exp(- ) ,, But this

Add a comment
Know the answer?
Add Answer to:
Use Laplace transforms to solve the problems in Exercise. A 500-gal tank contains 200 gal fresh...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT