Question

Identify the order of the following equations, (where a, b, c, d are parameters)

1) ln (ay) = be^x + c
2)y=tan(pie/4+ ax)tan(pie/4-ax) +ce^bx+d
​

Answer 1

a) (sina)x+(cosa)y=π

(sina)+(cosa)

dx

dy

=0

⇒

dx

dy

=−tana

⇒ 1st order eq

n

b) y

2

=4aθ

x+b

2y

dx

dy

=4aθ

x+b

=1

dx

dy

=

2

aθ

x+b

2aθ

x+b

=

aθ

x+b

⇒ 1st order differential eq

n

c) ln(ay)=be

x

+c

ay

1

dx

dy

a=be

x

dx

dy

=

a

be

x

.e

be

x+c

1st order differential Eqn.