Divide both sides by 
:
Substitute 
, so that 
.
Multiply both sides by 
:
The left side can be condensed into the derivative of a product.
Integrate both sides to get
Solve for 
:
Solve for 
:
![\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7By%28x%29%3D%5Csqrt%5B3%5D%7B%5Cdfrac14x%5E2e%5Ex%282%5Cln%20x-1%29%2BCe%5Ex%7D%7D)
Hello there!
I see you got some work done already, but I guess you just wanted to double check! :)
3n + 8 = 20
3n = 20 -8 (Subtract 8 on both sides).
3n = 12 (Combine like terms).
n = 4 ( divide both sides by 3)
There you have your answer! :D
Hope this helped!
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The answer is 2.77 • 10^3
Answer:
Given:
f(x) = 2x² + 3
g(x) = x² - 7
To Find:
(f - g)(x)
Step-by-step explanation:
(f -g)(x) = f(x) - g(x)
= (2x² + 3) - (x² - 7)
= 2x² + 3 - x² + 7
= 2x² - x² + 3 + 7
= x² + 3 + 7
= x² + 10
