Question

Verify by substitution that the given function is a solution of the given differential equation. Note that any primes denote derivatives with respect to x. y' = 4x3y = x + 6 What step should you take to verify that the function is a solution to the given differential equation? O O O O A. Substitute the given function into the differential equation, B . Integrate the function and substitute into the differential equation C . Determine the first and second derivatives of the given function and substitute into the differential equation D. Differentiate the given function and substitute into the differential equation.

Answer 1

1) i choose step D to verify y is a solution to y'=4x³.that is first i differentiate y to get y'.

1 y'= 4x² -> (1) y=3&to y = 400 to گدها = ما وان أمى هى و slep i bare choses D. Derdenghe Differentiale the gives function and substitute is to the differential equalios. y-evac 1444 =154 y'=rera ra Na 14ore - 15e 140=15 n=15/14 ir=12

2) r=15/14