Abernoulli differential equation is one of the form dxdy+p(x)y=q(x)yn observe that, if n=0 or 1, the bernoulli equation is linear. for other values of n, the substitution u=y1−n transforms the bernoulli equation into the linear equation dxdu+(1−n)p(x)u=(1−n)q(x) use an appropriate substitution to solve the equation xy+y=4xy2

It's unclear whether the ODE is

or

If the first case, then divide through both sides by to get

then substitute , so that . Then

If the second, then dividing through by gives

The same substitution as before gives

answer:     true

step-by-step explanation:

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere