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
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(c) (x + 1)dy/dx = −y + 20
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(d) dy/dx = 1/(x(x − y2))
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
Incorrect: Your answer is incorrect.
(e) dy/dx =(y^2 + y)/(x^2 + x)
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(f) dy/dx = 5y + y^2
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(g) y dx = (y − xy^2) dy
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(h) x dy/dx = ye^(xy) − x
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(j) 2xyy' + y^2 = 2x^2
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
Incorrect: Your answer is incorrect.
(k) y dx + x dy = 0
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
Incorrect: Your answer is incorrect.
(l) (x^2 + 2y/x) dx = (3 − ln x^2) dy
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(n) (y/x^2) dy/dx + e^(2x^3) + y^2 = 0
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above