Multiplying both sides by 
gives
so that substituting 
and hence 
gives the linear ODE,
Now multiply both sides by 
to get
so that the left side condenses into the derivative of a product.
![\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E3v%5D%3D3x%5E2)
Integrate both sides, then solve for 
, then for 
:
![\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D%5Csqrt%5B3%5D%7B1%2B%5Cdfrac%20C%7Bx%5E3%7D%7D%7D)
Answer:
8, 14
Step-by-step explanation:
Any term in a Fibonacci sequence is found as
= 
+ 
Thus
a₃ = a₁ + a₂ = 2 + 6 = 8
a₄ = a₂ + a₃ = 6 + 8 = 14
The next 2 terms are 8, 14
I’m here what do u need help with
You can skip 4 in that equation and you'll be left with 2x+12=0, which gives you 2x=-12 and finally, x=-6
Hi, Siyasi2 ! Let x = the number of hot dogs, y = the number of chips, and z = the number of drinks. Then we know:
5x + 4y + 5z = 15.75
x = y + 0.75
z = 2x - 1
Let's substitute the 3rd equation into the first one.
5x + 4y + 5(2x - 1) = 15.75
5x + 4y+ 10x - 5 = 15.75
15x + 4y = 20.75
Now, let's re-write the 2nd equation as x - y = 0.75
We now have a system of two equations with two unknowns.
15x + 4y = 20.75
x - y = 0.75
To solve this, we can multiply the bottom equation by 4 and add.
15x + 4y = 20.75
+ 4(x - y = 0.75)
19x = 23.75
or x = 1.25
If x = 1.25, then using the one of the equations above, we can solve for y.
x - y = 1.25 - y = 0.75
.50 = y
Since z = 2x - 1, then z = 2(1.25) - 1 = 2.5 - 1 = 1.50
So, a hot dog is $1.25, chips are 50 cents, and a soft drink is $1.50. Please let me know if you have any questions.
