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(A) = 3x-2y dx dy ry+3x-y-3 ry-2r-4y+8 dx (B) = (A) I only (B) II only separ 5. The following DE are exact except (A) 2xy³ + e² + (3x³y² + siny)y' = 0 (B) 6xy³ +2y + (9x²y² + 8xy³)y' =0 (C) 2ydx = (x²+2x+1)dy dN N dt te²+2 (D) 4. Which of the following statement(s) is(are) true? I. y = e-²/² is a particular solution of 2y + y = 0 II. y = e² cos 3x is a particular solution of y" - 6y' + 13y = 0 + N = (C) both I and II (D) neither I nor II (C) 2rydr +(2+x²) dy=0 (D) (x²+1)dx - xydy = 0

(A) = 3x-2y dx dy ry+3x-y-3 ry-2r-4y+8 dx (B) = (A) I only (B) II only separ 5. The following DE are exact except (A) 2xy³ + e² + (3x³y² + siny)y' = 0 (B) 6xy³ +2y + (9x²y² + 8xy³)y' =0 (C) 2ydx = (x²+2x+1)dy dN N dt te²+2 (D) 4. Which of the following statement(s) is(are) true? I. y = e-²/² is a particular solution of 2y + y = 0 II. y = e² cos 3x is a particular solution of y" - 6y' + 13y = 0 + N = (C) both I and II (D) neither I nor II (C) 2rydr +(2+x²) dy=0 (D) (x²+1)dx - xydy = 0

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Pls. answer 3,4 and 5.

3. The following differential equations are variable separable except dy (A) = 3x-2y (B) dy xy + 3x-y-3 dx xy - 2x - 4y + 8 (A) I only (B) II only 4. Which of the following statement(s) is (are) true? I. y = e-2/2 is a particular solution of 2y + y = 0 II. y = e² cos 3x is a particular solution of y" - 6y + 13y = 0 5. The following DE are exact except (C) 2ydx = (x² + 2x + 1) dy (A) 2xy³ + e + (3x²y² + sin y)y = 0 (B) 6xy³ + 2y¹ + (9x²y² + 8xy³)y' = 0 dN (D) +N= dt N te²+2 (C) both I and II (D) neither I nor II (C) 2xydx +(2+x²) dy = 0 (D) (x²+1)dxxydy = 0
Transcribed Image Text:3. The following differential equations are variable separable except dy (A) = 3x-2y (B) dy xy + 3x-y-3 dx xy - 2x - 4y + 8 (A) I only (B) II only 4. Which of the following statement(s) is (are) true? I. y = e-2/2 is a particular solution of 2y + y = 0 II. y = e² cos 3x is a particular solution of y" - 6y + 13y = 0 5. The following DE are exact except (C) 2ydx = (x² + 2x + 1) dy (A) 2xy³ + e + (3x²y² + sin y)y = 0 (B) 6xy³ + 2y¹ + (9x²y² + 8xy³)y' = 0 dN (D) +N= dt N te²+2 (C) both I and II (D) neither I nor II (C) 2xydx +(2+x²) dy = 0 (D) (x²+1)dxxydy = 0
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