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Forwarded from Quant-Entelechy(The ELITES) (Azizakhon Turakhujaeva)
Quant-Entelechy(The ELITES)
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2x²y’=x²+y²

y/x=u; y=ux; dy=udx+xdu

2x²(udx+xdu)=(x²+u²x²)dx
2x³du=(x²-2x²u+u²x²)dx
1/(u²-2u+1) du=1/2x dx
-1/(u-1)=1/2•lnx+lnC
x/(x-y)=ln(√x•C)
y=x-x/(ln√x•C)
Forwarded from Quant-Entelechy(The ELITES) (Azizakhon Turakhujaeva)
Quant-Entelechy(The ELITES)
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(4x-3y)dx+(2y-3x)dy=0

N(x,y)=4x-3y; dN/dy=-3
M(x,y)=2y-3x; dM/dx=-3

=> F(x,y)=∫ (2y-3x)dy=y²-3xy+C(x)
F’(x)=-3y+C’(x)=N(x,y)
-3y+C’(x)=4x-3y
C’(x)=4x
C(x)=2x²

=> F(x,y)=y²-3xy+2x²=C
Forwarded from Quant-Entelechy(The ELITES) (Azizakhon Turakhujaeva)
Quant-Entelechy(The ELITES)
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(y-x)dx+(y+x)dy=0

N(x,y)=y-x; dN/dy=1
M(x,y)=y+x; dM/dx=1

dN/dy=dM/dx

=> F(x,y)=∫ (y+x)dy=y²/2+xy+C(x)
F’(x)=y+C’(x)=y-x
C’(x)=-x
C(x)=-x²/2

F(x,y)=y²/2+xy+C(x)=y²/2+xy-x²/2=C
Forwarded from Abhishek
Please solve
Forwarded from 🛞Chimchim🎡
2πr²+2πrh = 4092

2πr(10.5+h)= 4092

21*22(10.5+h)= 4092*7

H = 51.5

Volume =πr²h

22*10.5²*51.5)/7*2

=8922

🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸

Here is correct answer option 2🌀🌀
Forwarded from Solution ↓↓
Forwarded from 🌸Sunil Verma 💖
Green Area= 1/2 *9*12

= 54 cm^2

🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸

Here is correct answer 54cm^2🌀🌀
Forwarded from Math Holics
2025/07/13 10:51:54
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