Find the particular solution of the differential equation with the initial condition given below. dy/dx = 3- 2x2 y=- 2 when x= 0 O a. y= 3x- (2/3)x³ + 2 O b. y= 3x- (2/3)x-2 O c. y= 3x- (2/3)x³ + 4 O d. y= 3x- (2/3)x -4 A rock thrown downward with an unknown initial velocity from a height of 1000 feet reaches the ground in

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Find the particular solution of the differential equation with the initial condition given below.
dy/dx = 3- 2x2 y=-2 when x= 0
O a. y= 3x- (2/3)x + 2
O b. y = 3x- (2/3)x-2
O c. y= 3x- (2/3)x + 4
O d. y 3x- (2/3)x - 4
A rock thrown downward with an unknown initial velocity from a height of 1000 feet reaches the ground in
5 seconds. Find the velocity of the rock when it hits the groun
-145 ft/sec
O b. -214.5 ft/sec
O c. -180.25 ft/sec
O d. -280 f/sec
Transcribed Image Text:Find the particular solution of the differential equation with the initial condition given below. dy/dx = 3- 2x2 y=-2 when x= 0 O a. y= 3x- (2/3)x + 2 O b. y = 3x- (2/3)x-2 O c. y= 3x- (2/3)x + 4 O d. y 3x- (2/3)x - 4 A rock thrown downward with an unknown initial velocity from a height of 1000 feet reaches the ground in 5 seconds. Find the velocity of the rock when it hits the groun -145 ft/sec O b. -214.5 ft/sec O c. -180.25 ft/sec O d. -280 f/sec
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