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 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 33CR
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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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