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

- click here to get an answer to your question ✍ 75 i will mark one of the angles formed by two

step-by-step explanation:

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.