Please provide steps and explanations

1)

Find all functions f such that f' is continuous and was)? = 100 + fora)? + [mm at for all real values of x. 0 Hint #1: First differentiate both sides of the equation with respect to x. You should be left with an equation that is separable [although it may not look like it to begin with]. Hint #2: To nd the initial-value set x = 0 in the original equation and see what you get