If b₁ = a₂ in the equation (a,x+b₁y+c dx + (a₂x+b₂y+c₂)dy = 0, then the equat homogeneous. . For the differential equation M(x, y)dx + (xe™ - 6xy² – 2y)dy = 0, to make the e M(x, y) must be (xye" – 2y³). -

Calculus: Early Transcendentals
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Author:James Stewart
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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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TRUE OR FALSE FOR 9 & 10

9. If b₁ = a₂ in the equation (a,x+by+c )dx + (a₂x+b₂y+c₂)dy = 0, then the equation is said to be
homogeneous.
10*. For the differential equation M(x, y)dx+(xe™ - 6xy² – 2y)dy = 0, to make the equation exact
M(x, y) must be (xye – 2y³).
Transcribed Image Text:9. If b₁ = a₂ in the equation (a,x+by+c )dx + (a₂x+b₂y+c₂)dy = 0, then the equation is said to be homogeneous. 10*. For the differential equation M(x, y)dx+(xe™ - 6xy² – 2y)dy = 0, to make the equation exact M(x, y) must be (xye – 2y³).
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