What is the solution for (dy)/(dx)=5^{tan(5x)} ?

The solution for (dy)/(dx)=5^{tan(5x)} is y=integral of 5^{tan(5x)}

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(dy)/(dx)=5^{tan(5x)}

\frac{d y}{d x} = 5^{t a n (5 x)}

y = \int 5^{t a n (5 x)} d x

Solution steps

\frac{d y}{d x} = 5^{t a n (5 x)}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 5^{t a n (5 x)}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int 5^{t a n (5 x)} d x

y = \int 5^{t a n (5 x)} d x

y^{^{''}} - \frac{2}{t ^{2}} y = 0

\frac{\partial}{\partial x} (x^{3} sin (x^{2}))

\int_{1}^{2} \frac{9}{x ^{3} + 2 x} d x

y^{^{''}} + 5 y^{^{'}} + 6 y = 0

y^{^{''}} + 3 y = 9

What is the solution for (dy)/(dx)=5^{tan(5x)} ?
The solution for (dy)/(dx)=5^{tan(5x)} is y=integral of 5^{tan(5x)}