A. Find y in terms of x if

dy/dx =x^4y^−1
and y(0)=6

y(x)= .

B. For what x-interval is the solution defined?
(Your answers should be numbers or plus or minus infinity. For plus infinity enter "PINF"; for minus infinity enter "MINF".)

The solution is defined on the interval:
x .

A.

B.Therefore the solution is defined on the interval:

6≤ x ≤ +∞

Step-by-step explanation:

Given differential equation is

Integrating both sides:

........(1)

Given y(0)= 6

it means y=0 when x=6

Putting x=6 and y=0 in the equation (1)

Equation (1) become:

Therefore

(B)

The quantity under root must greater than or equal to zero.

Therefore,

When x≥0 then the value of is real other wise the value of is imaginary.

Therefore the solution is defined on the interval:

6≤ x ≤ +∞

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles