For dy / DX... No formula Finding dy / DX y-e^(-xy)=x-e^(xy) Challenge yourself!

For dy / DX... No formula Finding dy / DX y-e^(-xy)=x-e^(xy) Challenge yourself!


y-e^(-xy)=x-e^(xy)dy/dx-e^(-xy)*(-y-x*dy/dx)=1-e^(xy) *(y+x*dy/dx)dy/dx+e^(-xy)*(y+x*dy/dx)=1-e^(xy) *(y+x*dy/dx)(1+xe^(-xy)+xe^(xy))*dy/dx=1-ye^(xy)-ye^(-xy)dy/dx=[1-ye^(xy)-ye^(-xy)]/(1+xe^(-xy)+xe^...



The general solution of dy / DX = Y / x = Y / x + X / 2Y is very urgent
The general solution of dy / DX = Y / x = Y / x + X / 2Y
Very urgent,
The last question of the paper.


Let t = x / y
Then x = ty
dx=tdy+ydt
dy/dx=y/(x+y^2)=>
DX / dy = x / y + y
t+ydt/dy=t+y
ydt/dy=y
dt/dy=1
T = y + C (C is constant)
x=y^2+Cy
Give it to me!



Inequality of degree one variable, an applied problem
During the summer vacation, Xiao Zhang and his family plan to drive the same distance every day. If the distance of the car is 19 times more than the original plan, then his distance will exceed 2200 in 8 days. If the distance of the car is 12 kilometers less than the original plan, then it will take more than 9 days to drive the same distance


It was originally planned to travel x kilometers a day
Then (x + 19) * 8 = (X-12) * 9
The solution is x = 260 km
2200 / 8-19 = 256 km
Therefore, it was originally planned to travel more than 256 km and less than 260 km per day



Someone starts from home at 10 a.m. and takes a bus to the railway station. After one hour, he has walked 3.2/1km. If he continues to walk at this speed, he will be one hour later than the driving time. Therefore, he speeds up 1.2/1km every hour, so that he can arrive 2 / 2 hours earlier than the scheduled driving time, and ask for the distance between his home and the railway station
2. From place a to place B by bike, go at the speed of 10 kilometers per hour, arrive at 1 p.m., go at the speed of 15 kilometers per hour, and arrive at 11 a.m. if you arrive at 12 noon, what speed should you go?
Xiao Ming takes 10 minutes to rest every 30 minutes to go up the mountain and 5 minutes to rest every 40 minutes to go down the mountain. His speed down the mountain is 1.5 times that up the mountain. If it takes 3 hours and 50 minutes to go up the mountain, how long does it take to go down the mountain?
4 A and B swam back and forth in a 25 meter long pool, with a speed of 1 meter per second and B speed of 0.6 meters per second. They started from both ends of the pool at the same time and swam back and forth for 10 minutes. If not counting the turning time, how many times did they meet in 10 minutes?


After one hour, he walked 7 / 2 kilometers. If he continues to walk at this speed, he will be 1 hour late than the driving time, so he speeds up 3 / 2 kilometers per hour, so that he can arrive 1 / 2 hours earlier than the scheduled driving time



How to calculate (0.75 minus 3 / 16) times (2 / 9 plus 2 / 3)


=(3/4-3/16)×(2/9+2/3)
=(12/16-3/16)×(2/9+6/9)
=9/16×8/9
=1/2



The current price of Andersen's fairy tales is one sixth lower than the original price. The original price is 4 yuan higher than the current price. How much is the original price
Can we use the equation


4 / (1 / 6) = 24 yuan



How to write the English words of numbers 1 ~ 100?


one
two
three
four
five
six
seven
eight
nine
ten
eleven
twelve
thirteen
fourteen
fifteen
sixteen
seventeen
eighteen
nineteen
twenty
twenty-one
twenty-two
twenty-three
twenty-four
twenty-five
twenty-six
twenty-seven
twenty-eight
twenty-nine
thirty
thirty-one
thirty-two
thirty-three
thirty-four
thirty-five
thirty-six
thirty-seven
thirty-eight
thirty-nine
forty
forty-one
forty-two
forty-three
forty-four
forty-five
forty-six
forty-seven
forty-eight
forty-nine
fifty
fifty-one
fifty-two
fifty-three
fifty-four
fifty-five
fifty-six
fifty-seven
fifty-eight
fifty-nine
sixty
sixty-one
sixty-two
sixty-three
sixty-four
sixty-five
sixty-six
sixty-seven
sixty-eight
sixty-nine
seventy
seventy-one
seventy-two
seventy-three
seventy-four
seventy-five
seventy-six
seventy-seven
seventy-eight
seventy-nine
eighty
eighty-one
eighty-two
eighty-three
eighty-four
eighty-five
eighty-six
eighty-seven
eighty-eight
eighty-nine
ninety
ninety-one
ninety-two
ninety-three
ninety-four
ninety-five
ninety-six
ninety-seven
ninety-eight
ninety-nine
one/a hundred



If a is more than B = 5, then how much is a multiplied by 14 than B multiplied by 14


5



Poetry poetry (), () shows that new things can't be stopped,
Poems (), () show that new things can't be stopped,


A thousand sails pass by the side of the sunken boat, and ten thousand trees spring before the diseased tree



Is 1900 a leap year? Is 1904 a leap year? Is 1900 a leap year


No. generally, if a four digit year can be divided by four, it is a leap year. However, because there are too many leap years every four years, which is inconsistent with the actual situation, a year with ten digits and one digit 0 must be divisible by 400 before it is a leap year. Obviously, 1900 cannot be divided by 400, so it is not a leap year