Equations that involve derivatives are called differential equations. Find at least one nonzero function that satisfies each of these differential equations. f'(x)=x

Rosemary Chase

Rosemary Chase

Answered question

2022-11-15

Equations that involve derivatives are called differential equations. Find at least one nonzero function that satisfies each of these differential equations. f'(x)=x

Answer & Explanation

Tasinazzokbc

Tasinazzokbc

Beginner2022-11-16Added 17 answers

Since
( x 2 2 ) = 1 2 2 x = x
f ( x ) = x 2 2 is one possible solution.
Also, if we add a constant C, C 0, we obtain another, different solution
f ( x ) = x 2 2 + C
Result:
f ( x ) = x 2 2 + C , C R

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