y | x = 0 = y“| x = 0 = 0”

-

let

u= y '

Du/Dai

= d/dy(y’)

= d/dx (y ')。 (dx/dy)

= y''/y '

-

y''=e^(2y)

udu/dy = e^(2y)

∫udu = ∫e^(2y) dy

( 1/2)u^2 =( 1/2)e^(2y)+c '

u^2 = e^(2y) + C ' '

y | x = 0 = y“| x = 0 = 0”

0= 1+C ' '

C'' = - 1

Republic of Ireland

u^2 = e^(2y) - 1

dy/dx =√[e^(2y]- 1]

∫dy/√[e^(2y]- 1]=∫dx

arccos[e^(-y)] + C''' = x

y | x = 0 = y“| x = 0 = 0”

arccos( 1) +C''' = 0

C''' = arccos 1

Republic of Ireland

arccos[e^(-y)] + arccos 1 = x

e^(-y) = cos (x -arccos 1)

-

let

e^y = secz

e^y dy = secz.tanz。 Domain name of Algeria

dy = tanz。 Domain name of Algeria

∫dy/√[e^(2y]- 1]

=∫tanz。 dz/ tanz

=∫ dz

=z + C ' ' '

' ' ' =arccos[e^(-y)] + C ' ' '