Verify that the indicated function y = ϕ(x) is an explicit solution of the given first-order differential equation. y' = 2xy2; y = 1/(16 − x2)

Answer with Step-by-step explanation:

We are given that a differential equation

and

We have to verify that the function y= is an explicit function of the given first order differential equation.

Differentiate w.r.t x

By using the formula

Substitute the value of y in given differential equation

LHS=RHS

Hence, the function y is an explicit function of the given first order differential equation.

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )