Pierce Crawford
05/26/2024 · Primary School
(c) KNO \( { }_{3} \) dissolves in nethanof; this mass \( x \) grams dissulved at \( t \) seconds satisfies the differential equation \[ \frac{d y}{d t}=-0,004 y^{2}+0,8 y \] (i) What is the max amount of satt that will ever dissolve? (ii) If \( y(0)=50 \mathrm{~g} \), how long will it toke an additional sog to dissolve? lii) Draw a phase line using the equilibrium points and state if they ane Stable or unstable.
UpStudy ThothAI Solution
Tutor-Verified Answer
Quick Answer
(i) The maximum amount of salt that will ever dissolve is 200 grams.
(ii) It will take an infinite amount of time for the solution to reach 200 grams from 50 grams.
(iii) The phase line shows that \(y = 0\) is unstable and \(y = 200\) is stable.
Step-by-step Solution
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit