Math, asked by nagasonic, 7 hours ago

the general solution of differential equation y=√a*2p*2+b*2 where p=dy/dx is given by​

Answers

Answered by shubreet7tha7hhps36
1

y=px+

a

2

p

2

b

2

(y−px)

2

=a

2

p

2

+b

2

y

2

+p

2

x

2

−2pxy=a

2

p

2

+b

2

y

2

+x

2

(

dx

dy

)

2

−2

dx

dy

xy=a

2

p

2

+b

2

y

2

+x

2

(

dx

dy

)

2

−2

dx

dy

xy=a

2

(

dx

dy

)

2

+b

2

x

2

(

dx

dy

)

2

−2xy

dx

dy

−a

2

(

dx

dy

)

2

−b

2

+y

2

=0

Order=1

Degree=2

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