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Solve the following differential equation by finding h and k so that the substitutions x=u+h, y=v+ k transform it into the homogeneous equation dy x-y-4 dx x+y+7 Determine the general solution of the differential equation. Choose the correct choice below. O A. x²-2xy-y²-8x-14y = C B. x²-2xy-y² + 8x + 14y=C OC. x²-2xy + y² + 8x + 14y = C O D. x² + 2xy + y² + 8x + 14y = C **** dv U-V du = U + V

Solve the following differential equation by finding h and k so that the substitutions x=u+h, y=v+ k transform it into the homogeneous equation dy x-y-4 dx x+y+7 Determine the general solution of the differential equation. Choose the correct choice below. O A. x²-2xy-y²-8x-14y = C B. x²-2xy-y² + 8x + 14y=C OC. x²-2xy + y² + 8x + 14y = C O D. x² + 2xy + y² + 8x + 14y = C **** dv U-V du = U + V

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Solve the following differential equation by finding h and k so that the substitutions x=u+h, y=v+ k transform it into the homogeneous equation dy X-y-4 dx x+y+7 증 Determine the general solution of the differential equation. Choose the correct choice below. O A. x²-2xy-y² - 8x - 14y = C 2 OB. x-2xy-y + 8x + 14y = C 2 2 OC. x²-2xy + y² + 8x + 14y = C 興 2 2 O D. x² + 2xy + y² + 8x + 14y = C dv U-V du U + V =
Transcribed Image Text:Solve the following differential equation by finding h and k so that the substitutions x=u+h, y=v+ k transform it into the homogeneous equation dy X-y-4 dx x+y+7 증 Determine the general solution of the differential equation. Choose the correct choice below. O A. x²-2xy-y² - 8x - 14y = C 2 OB. x-2xy-y + 8x + 14y = C 2 2 OC. x²-2xy + y² + 8x + 14y = C 興 2 2 O D. x² + 2xy + y² + 8x + 14y = C dv U-V du U + V =
Verify that the given differential equation is exact, then solve it. (+8) (2 cos x + In y)dx- dy=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) B. The equation is not exact. = C, where C is an arbitrary constant.
Transcribed Image Text:Verify that the given differential equation is exact, then solve it. (+8) (2 cos x + In y)dx- dy=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) B. The equation is not exact. = C, where C is an arbitrary constant.
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