Question

integrating factor of the differential equation (y+y^3/3+x^2/2)dx+1/4+(x+xy^2)dy=0 is​

Answer 1

Answer:

1

Step-by-step explanation:

Correct option is

B

y

1

(x+2y

3

)

dx

dy

=y, this equation involves the term y

3

is not linear, if we take y as the dependent, so we can write the equation as y

dy

dx

=x+2y

3

⇒ y

dy

dx

−x=2y

3

, which is linear differential equation in which x is as the dependent variable

dy

dx

−

y

x

=2y

2

∴ I.F. =e

∫−

y

1

dy

=e

−logy

=e

log

y

1

=

y

1