Is the general solution of total differential equation ∫ upper x lower x0 P (x, Y0) DX + ∫ upper y lower Y0 Q (x, y) dy or ∫ upper x lower x0 P (x, y) DX + ∫ upper y lower Y0 Q (x0, y) dy The formula of mathematics textbook and review book is different. The position of x0 and Y0 is different Which is it?

Both of them are OK. Their total differential is the same. There is only one constant difference between them

Find the solution of initial value problem of differential equation x (1 + x ^ 2) dy = (y + x ^ 2 * y + 1) DX, y = - π / 4 when x = 1

dy/ dx =(y+x^2 *y+1)/ x(1+x^2)
dy/ dx -（1/x）y=1/ x(1+x^2)
y=cx+x∫（1/ ( x^2 (1+x^2 )））
=cx+x∫（1/ x^2 -1/（ 1+x^2 ））
=cx+x（-1/x-arctan(x)）
When x = 1, y = - π / 4, C = 1
y=x-1-xarctan(x)

62800 cubic centimeters equals

62800 cubic centimeters equals 628 cubic decimeters = 6.28 cubic meters

Who can solve the application problems of the first series of equations in the elementary school?
The first number on the left of a four digit number is 7. If the new number is 864 less than the original four digits, find the original four digits
There are two kinds of alloys. The first one contains 90% copper and the second one contains 80% copper. Now we need to smelt 240 kg of an alloy containing 82.5% copper. How many kg should we take for each of the two alloys?
Equation of first degree with one variable!
A three digit one digit number is 5. If you put 5 on the hundred of the three digit number, the number on the hundred will be moved to ten, and the number on the ten will be moved to one, then the new number will be 95 times smaller than the original number, and the original three digit number will be obtained
When the purchase price of a commodity is reduced by 6.4%, the profit margin of the commodity increases to (M + 8)%
I'll give you 100 points for everything

(1) Let the three digits on the right of the four digits be X7 × 1000 + x-864 = 10x + 7x = 681. The original four digits are 7681 (2). Let the first alloy be XG, then the second alloy be 240-xg, 0.9x + 0.8 (240-x) = 240 × 0.8250.1x = 240 × 0.025x = 60

78 × 9. 9 + 0,

Limx tends to be positive infinity = root sign (square of X + x) minus root sign (square of X + 1)

Root sign (square of X + x) - root sign (square of X + 1) = (x-1) / [root sign (square of X + x) + root sign (square of X + 1)]
=(1-1 / x) / [radical (1 + 1 / x) + radical (1 + 1 / x ^ 2)]
Take the limit and get the original formula = 1 / 2

Seventh grade mathematics volume II data collection and description of knowledge points

1、 The basic process of data processing the basic process of data processing: collecting data, sorting out data, describing data, analyzing data, drawing conclusions. 2. Two basic methods of representing data. One is statistical table, through which the law of data distribution can be found. The other is statistical chart, which is used to represent the sorted data

What are the least common multiple, the greatest common factor and the least common multiple of 11 and 37

11 and 37 least common multiple: 407
Greatest common factor: 1
Least common factor: 1
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How to get rid of the brackets in Mathematics
First remove the brackets, then merge the similar items:
1. 8x + 2Y + 2 (5x-2y) 2, 3A - (4b-2a + 1) 3, 7m + 3 (M + 2n) 4, (x2-y2) - 4 (2x2-3y2)
The difference between 2x and X-5 is ()
Given a = X3 power + x2 power + X + 1, B = x + x2 power, find the value of 3b-2a, where x = - 2
It is known that Xiaoming's age is m, Xiaohong's age is four years less than two times of Xiaoming's age, and Xiaohua's age is one year more than one-half of Xiaohong's age

1.8x+2y+2(5x-2y) =8x+2y+10x-4y=18x-2y
2.3a-(4b-2a+1)=3a-4b+2a-1=5a-4b-1
3. Original formula = 7m + 3M + 6N = 10m + 6N
4.（x²-y²）-4（2x²-3y²）=x²-y²-8x²+12y²= -x²+11y²
2x-3（x-5)=2x-3x+15=-x+15
3b-2a = 3 (x + X & # 178;) - 2 (X & # 179; + X & # 178; + X + 1) = 3x + 3x & # 178; - 2x & # 179; - 2x & # 178; - 2x-2 = - 2x & # 179; + X & # 178; + X-2 = substitute - 2 = - 16 + 4-2-2 = - 16
Xiaohong's age: 2m-4
Xiaohua's age: 1 / 2 (2m-4) + 1
Age sum = m + 2m-4 + 1 / 2 (2m-4) + 1 = 4m-6