Question

The particular solution of the differential equation (D2 4)y = 12 is​

Answer 1

Answer:

xdy+2ydx=0

⇒

y

dy

+

x

2dx

=0

On Integrating both sides, we get

∫

y

dy

+2∫

x

dx

=C

1

logy+2logx=logC

logyx

2

=logC

∴x

2

y=C

When x=2,y=1, then C=4

∴ Particular solution is x

2

y=4