Show that y = √√C-2x² is a solution of the differential equation particular solution that passes through (2, 4). dy Substitute the appropriate expressions for dx □ □□ 기 = 경기 dx 2x y What process can be used to rewrite the equation to show that the two sides are equal? Select all that apply. C. Integrate the left side of the equation with respect to x. = into the differential equation. 2x for any positive real number C. Find the y (Type an exact answer, using radicals as needed.) A. Integrate the right side of the equation with respect to x. B. Substitute x = 2 and y = 4 into the right side of the equation and simplify. D. Take the derivative of the right side of the equation. E. Substitute y in for the denominator of the left side of the equation. Find the particular solution for y that passes through (2, 4).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Show that y = √√C-2x² is a solution of the differential equation
particular solution that passes through (2, 4).
경기
=
dx
dy
dx
Substitute the appropriate expressions for into the differential equation.
2x
for any positive real number C. Find the
y
2x
y
What process can be used to rewrite the equation to show that the two sides are equal? Select all that apply.
(Type an exact answer, using radicals as needed.)
A. Integrate the right side of the equation with respect to x.
B. Substitute x = 2 and y = 4 into the right side of the equation and simplify.
C. Integrate the left side of the equation with respect to x.
D. Take the derivative of the right side of the equation.
E. Substitute y in for the denominator of the left side of the equation.
Find the particular solution for y that passes through (2, 4).
Transcribed Image Text:Show that y = √√C-2x² is a solution of the differential equation particular solution that passes through (2, 4). 경기 = dx dy dx Substitute the appropriate expressions for into the differential equation. 2x for any positive real number C. Find the y 2x y What process can be used to rewrite the equation to show that the two sides are equal? Select all that apply. (Type an exact answer, using radicals as needed.) A. Integrate the right side of the equation with respect to x. B. Substitute x = 2 and y = 4 into the right side of the equation and simplify. C. Integrate the left side of the equation with respect to x. D. Take the derivative of the right side of the equation. E. Substitute y in for the denominator of the left side of the equation. Find the particular solution for y that passes through (2, 4).
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