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45

Step-by-step Answer
PAGE: 252SET: ExercisesPROBLEM: 45
Please look in your text book for this problem Statement

The differential equation is .

(a) Graph the differential equation  slope field.

graph the differential equation dy/dx=2x

(b)

The differential equation is  and the point is .

Apply integral on each side.

.

The general solution is .

Find the value of , substitute for  in the equation .

.

The particular solution is .

(c)

Graph of particular solution  and the slope field in the same window:

graph the equation y=(1/4)x^2-x+2

(a) Slope field of :

graph the differential equation dy/dx=2x

(b) The particular solution is .

(c) Graph of particular solution  and the slope field in the same window:

graph the equation y=(1/4)x^2-x+2.



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