Question

(b). x2 - ax + 4y = 0 find the orthogonal trajectory equation

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Answer 1

Answer:

Separation of variables. Get the respective variables on each side of the equation.

\L

d

y

d

x

=

4

y

x

\L

d

y

y

=

4

x

d

x

Integrate:

\L

∫

1

y

d

y

=

∫

4

x

d

x

\L

l

n

(

y

)

=

4

l

n

(

x

)

+

C

\L

y

=

e

4

l

n

(

x

)

+

C

1

log property:

\L

y

=

e

l

n

(

x

4

)

e

C

Let

e

C

=

C

1

\L

y

=

C

1

x

4