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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>
its c because i already did that and got it right
Answer:
12 months
Step-by-step explanation:
Given data:
Before joining club 6 books read
3 books every month
total books read 42
books read after joining the club = 42 - 6
books read after joining the club = 36
Months she has in book club = 36/3
Months she has in book club = 12 months
Answer:
square root (50) = 7.071
Step-by-step explanation:
Using Pthagoras' theorem, the diagonal length is
.
Therefore, the diagonal length is the square root of 5^2+5^2,
= 
= 
= 7.071