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Solve the initial value problem:
dy——— = 2xy², y = 2, when x = – 1. dxSeparate the variables in the equation above:

Integrate both sides:


Take the reciprocal of both sides, and then you have

In order to find the value of
C₁ , just plug in the equation above those known values for
x and
y, then solve it for
C₁:
y = 2, when
x = – 1. So,


Substitute that for
C₁ into (i), and you have

So
y(– 2) is

I hope this helps. =)
Tags: <em>ordinary differential equation ode integration separable variables initial value problem differential integral calculus</em>
Answer:
y = -6/5x + 3
Step-by-step explanation:
y = mx + c (or b, depending on where you're from)
Slope = m = -6/5
y = -6/5x + c
You can sub (0, 3) and (5, -3) into y = -6/5x + c and they both have the same answer where c = 3
Therefore, the equation is y = -6/5x + 3
Hop this helps
Answer:
set both of them equal to each other:
8x - 8° = 5x + 25°
subtract 5x by both sides of the equations and it becomes:
3x-8° = 25°
now add 8° both sides:
3x = 33°
divide three by both sides:
x = 11°
now thats done to find B:
plug your x value in the B equation:
5x + 25°
5(11) +25°
55 +25°
not sure if you can add here sorry :(. I hope this helped so far :)
Answer:
6 × 8 = 48
Step-by-step explanation:
6 sets of 8 objects, to get the answer you have to multiply
6×8 = 48
So you know the merchant made a 15% profit on the pen, so she bought it for a cheaper price. To find the cost of the pen before you have to take the price now, $6.90 and times it by 85%. You do 85% because you subtract the 15% she saved from 100% and you get 85%. So 6.90x.85= 5.865 which rounds to $5.87