Find the particular solution of the differential equation that satisfies the initial condition(s). f" (x) = 3x , f'(-1) = -2 f(2) = 8 f ( x ) =Find the particular solution of the differential equation that satisfies the initial condition(s). f"(x) = sin(x), f'(0) = 9, f(0) = 1 f( x ) :An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during these 5 years is approximated by dhfdt = 1.9t + 5, where t is the time in years and his the height in centimeters. The seedlings are 15 centimeters tell when planted (f = CI}. {a} Find the height after t years. hit} = {b} How tall are the shrubs when they are sold? E... Assume the acceleration of the object is a(t] = 732 feet per second per second. (Neglect air resistance.) A ball is thrown vertically upward From a height ot4 Feet with an initial velocity of 86 feet per second. How high will the hall go? [Round your answer to two decimal places.) |:|Ft Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant 0 integration.) Find the general solution of the differential equation and check the result by differentiation. {Use C for the constant oi integration.)