What is the solution for y^'=2sec^2(x)e^{2y} ?

The solution for y^'=2sec^2(x)e^{2y} is y=-(ln(-4tan(x)-c_{1}))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y^'=2sec^2(x)e^{2y}

y^{^{'}} = 2 sec^{2} (x) e^{2 y}

y = - \frac{ln ( - 4 tan ( x ) - c _{1} )}{2}

Solution steps

y^{'} (x) = 2 sec^{2} (x) e^{2 y}

Solve separable ODE:

y = - \frac{ln ( - 4 tan ( x ) - c _{1} )}{2}

y = - \frac{ln ( - 4 tan ( x ) - c _{1} )}{2}

What is the solution for y^'=2sec^2(x)e^{2y} ?
The solution for y^'=2sec^2(x)e^{2y} is y=-(ln(-4tan(x)-c_{1}))/2