Answer:
37.7
Step-by-step explanation:
C = 2 pi r
The general solution, y(t), which solves the problem by the method of integrating factors is; y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
<h3>How to solve differential equations?</h3>
We want to find the general solution of;
5t(dy/dt) + y = t⁴
We will divide through by 5t to get;
(dy/dt) + y/5t = t³/6
Using Integration factor, we have;
u(t) = e^∫(¹/₅t) dt = t^(¹/₅)
Thus, we now have;
[t^(¹/₅)](dy/dt) + [t^(¹/₅)]y/5t = [t^(¹/₅)]t³/6
Completing this with a differential calculator gives us the general solution as;
y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
Read more about differential equations at; brainly.com/question/17201048
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Slope of perpendicular lines multiply to -1
find slope of this line
slope=(y2-y1)/(x2-x1)
(x,y)
(5,7)
(3,1)
slope=(1-7)/(3-5)=-6/-2=6/2=3
perpendular lines have slopes taht mutliply to -1
3 times what=-1
-1/3
slope of perpendiular is -1/3
Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
----------------------------------------------------------------------------
2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
-----------------------------------------------------------------------
plug in y value to x=2y
so x=2(1)
x=2
Answer:
y = 2 when x =12
Step-by-step explanation:
y = k/x ..............as y varies inversely as x
8 = k/3
k = 8 * 3
k = 24
So,
y = k/x
y = 24/12
y = 2
