Set2 22 Problem 4 Previous Problem List Next 1 point A Find

Set2 2.2: Problem 4 Previous Problem List Next (1 point) A. Find y in terms of x if x y dx and (0) 38. 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

Solution

a:dy/dx=x⁴ y^-7

dy/y^-7=x⁴ dx

y⁷ dy=x⁴ dx

y⁸/8=x⁵/5+c

y(x)=y⁸/8-x⁵/5+c

y(0)=8

hence,

b:1/8(8⁸⁾=1/5(8⁵)+c

c=1/8*8⁸/8⁵*5/1

=1/8*8³*5/1

=5*8²

c=320

x should be o to 1