What is the solution for (dy)/(dx)y=tan(x) ?

The solution for (dy)/(dx)y=tan(x) is y=sqrt(-2ln(cos(x))+c_{1)},y=-sqrt(-2ln(cos(x))+c_{1)}

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Find dy/dx y=tan(x)

\frac{d y}{d x} y = tan (x)

y = - 2 ln (cos (x)) + c_{1}, y = - - 2 ln (cos (x)) + c_{1}

Solution steps

\frac{d y}{d x} y = tan (x)

Solve separable ODE:

y = - 2 ln (cos (x)) + c_{1}, y = - - 2 ln (cos (x)) + c_{1}

y = - 2 ln (cos (x)) + c_{1}, y = - - 2 ln (cos (x)) + c_{1}

\frac{d}{d x} (tan^{3} (x))

cos (\frac{x}{( 2 )})

\frac{d}{d x} (6^{x})

sec (2 x)

\frac{d}{d x} (e^{e x})

What is the solution for (dy)/(dx)y=tan(x) ?
The solution for (dy)/(dx)y=tan(x) is y=sqrt(-2ln(cos(x))+c_{1)},y=-sqrt(-2ln(cos(x))+c_{1)}