Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than
Question:
Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than one kind. Do not solve.
(a) dy/dx = x - y/x
(b) dy/dx = 1/y – x
(c) (x + 1) dy/dx = 2y + 10
(d) dy/dx = 1/x(x - y)
(e) dy/dx = y2 + y/x2 + x
(f) dy/dx = 5y + y2
(g) y dx = (y - xy2) dy
(h) x dy/dx = yex/y - x
(i) xy y' + y2 = 2x
(j) 2xy y' + y2 = 2x2
(k) y dx + x dy = 0
(l) (x2 + 2y/x) dx = (3 - ln x2) dy
(m) dy/dx = x/y + y/x + 1
(n) y/x2 dy/dx + e2x3+y2 = 0
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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