If the given differential equation is
then multiply both sides by 
:
The left side is the derivative of a product,
![\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%3D%20%5Csec%5E2%28x%29)
Integrate both sides with respect to 
, recalling that 
:
![\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%5C%2C%20dx%20%3D%20%5Cint%20%5Csec%5E2%28x%29%20%5C%2C%20dx)
Solve for 
:
![\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}](https://tex.z-dn.net/?f=%5Cboxed%7By%20%3D%20%5Csec%28x%29%20%2B%20C%20%5Ccsc%28x%29%7D%3C%2Fp%3E%3Cp%3Ewhich%20follows%20from%20%5Btex%5D%5Ctan%28x%29%3D%5Cfrac%7B%5Csin%28x%29%7D%7B%5Ccos%28x%29%7D)
.
Ans
8 option b.
Step-by-step explanation:
3+4/2+3
=3+2+3
=5+3
=8
Answer:
10 months
Step-by-step explanation:
my answer is 10 months because i added 30 and 18 together to get 1.6666666666666667 then i divided by 6, because i added 1 and 5 together, and got 10.
1/2 + 1/2 =1 cup + 1/2 + 1/2= 2 cups + 1/2= 2 1/2
How many 1/2 you see? 5!!
Answer:
x = -3, y = -7
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
Solve 2x - 1 = 3x + 2 for x.
-x - 1 = 2
-x = 3
x = -3
Evaluate y when x = -3
y = 3 (-3) + 2
y = -7
(-3, -7)
<em>good luck, i hope this helps :)</em>
