What is the answer of this question

Solved

Show answers

Ответ:

mel2001love

03.02.2020

Mathematics

Step-by-step explanation:

dy/dt=(y+1)(2√t)

separate the variables and integrating

$\int \frac{dy}{y+1} =\int\ {2\sqrt{t} } \, dt \\log(y+1)=2\frac{t^{\frac{3}{2} } }{\frac{3}{2} } +c\\y+1=e^{\frac{4}{3}t^{\frac{3}{2}+c } } =Ce^{t^{\frac{3}{2} }} \\y=Ce^{t^{\frac{3}{2} } } -1$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

A Auto and Moto How to Deregister a Car in Moscow?...
F Food and Cooking How to Cook Julienne? Recipes and Tips...
D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
F Food and Cooking Apple Cider Vinegar: The Ultimate Health and Beauty Solution...
C Computers and Internet Е-head: How it Simplifies Life for Users?...
F Family and Home How to Choose the Best Diapers for Your Baby?...
F Family and Home Parquet or laminate, which is better?...
L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...

Answers on questions: Mathematics

M Mathematics Create an exponential function equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?...
M Mathematics How many 3/8s are in 6...
M Mathematics Write an equation for an ellipse centered around the origin, which has a foci at (+-12, 0) and a vertices at (+-13,0)...
M Mathematics A line with a slope of – 5 passes through the points (8,4) and (10,n). What is the value of n?...
M Mathematics Find the volume of the triangle...
M Mathematics The histogram below shows the ages of people that came to a doctors office this morning grouped by age. How many people were greater than or equal to a 20 years old but less than...
M Mathematics Triangle R S T is shown. Angle R S T is a right angle. The length of R S is 10, the length of R T is 26, and the length of S T is 24. Use the diagram and side lengths of triangle...
M Mathematics The __- axis is horizontal to the horizon...
M Mathematics 2. Which means to push through suddenly...
M Mathematics Graph (3, –3), (–2, 0), (–2, 4) and (5, 4) and connect the points....

Ask an AI advisor a question

I want advice