What is the solution for y^'=8xsec(y) ?

The solution for y^'=8xsec(y) is y=arcsin(4x^2+c_{1})+2pin,y=pi+arcsin(-4x^2-c_{1})+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y^'=8xsec(y)

y^{^{'}} = 8 x sec (y)

y = arcsin (4 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 4 x^{2} - c_{1}) + 2 πn

Solution steps

y^{'} (x) = 8 x sec (y)

Solve separable ODE:

y = arcsin (4 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 4 x^{2} - c_{1}) + 2 πn

y = arcsin (4 x^{2} + c_{1}) + 2 πn, y = π + arcsin (- 4 x^{2} - c_{1}) + 2 πn

What is the solution for y^'=8xsec(y) ?
The solution for y^'=8xsec(y) is y=arcsin(4x^2+c_{1})+2pin,y=pi+arcsin(-4x^2-c_{1})+2pin