Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared .

Explain why the initial value problem y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared with y(0) = 3 does not have a solution.

1. y = sin(x²+C)

2. see below

Step-by-step explanation:

1.

separation of variables

integration both sides

you should get :

remember constant of integration!!

2. y = sin(x²+C)

3 = sin(0+C)

y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation:

d

gimmee one of those gold crowns!

~coco