It looks like the differential equation is
![y'-\dfrac y{x+1}=2](https://tex.z-dn.net/?f=y%27-%5Cdfrac%20y%7Bx%2B1%7D%3D2)
Multiply both sides by 1/(<em>x</em> + 1) :
![\dfrac{y'}{x+1}-\dfrac y{(x+1)^2} = \dfrac2{x+1}](https://tex.z-dn.net/?f=%5Cdfrac%7By%27%7D%7Bx%2B1%7D-%5Cdfrac%20y%7B%28x%2B1%29%5E2%7D%20%3D%20%5Cdfrac2%7Bx%2B1%7D)
The left side is now a derivative of a product,
![\left(\dfrac y{x+1}\right)' = \dfrac2{x+1}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%20y%7Bx%2B1%7D%5Cright%29%27%20%3D%20%5Cdfrac2%7Bx%2B1%7D)
Integrate both sides with respect to <em>x</em> :
![\dfrac y{x+1} = 2\ln|x+1|+C](https://tex.z-dn.net/?f=%5Cdfrac%20y%7Bx%2B1%7D%20%3D%202%5Cln%7Cx%2B1%7C%2BC)
Solve for <em>y</em> :
![y = 2(x+1)\ln|x+1| + C(x+1)](https://tex.z-dn.net/?f=y%20%3D%202%28x%2B1%29%5Cln%7Cx%2B1%7C%20%2B%20C%28x%2B1%29)
Answer:
65.94 inches ^3
Step-by-step explanation:
First we find the area of the circle which would be 3.14x3^2 which would give us 28.26 now we multiply that times 7 which gives us 197.82 now finally we divide that by 3 for our answer.
Answer:![\sqrt 41](https://tex.z-dn.net/?f=%5Csqrt%2041)
Step-by-step explanation:
you just take half of the triangle.so it will be a right triangle then use the formula a^2 + b^2 = c^2
Answer:
3:4
Step-by-step explanation:
that would be your answer because it is simplefied and i double checked its right
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