What is the solution for (dy)/(dx)=sqrt(7x^5+6) ?

The solution for (dy)/(dx)=sqrt(7x^5+6) is y=integral of sqrt(7x^5+6)

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(dy)/(dx)=sqrt(7x^5+6)

\frac{d y}{d x} = 7 x^{5} + 6

y = \int 7 x^{5} + 6 d x

Solution steps

\frac{d y}{d x} = 7 x^{5} + 6

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 7 x^{5} + 6

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

then

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

y = \int 7 x^{5} + 6 d x

y = \int 7 x^{5} + 6 d x

f (x) = 7 e^{- x} - 4 e^{- 7 x}

\frac{\partial}{\partial x} (3 sec^{2} (3 x - 2 y + 1))

\frac{d}{d x} ((2 x + 3)^{5} + 10 x (2 x + 3)^{4})

21 x y^{^{'}} + y = 462 x

f (x) = \frac{1}{x + 3}, at x = 2

What is the solution for (dy)/(dx)=sqrt(7x^5+6) ?
The solution for (dy)/(dx)=sqrt(7x^5+6) is y=integral of sqrt(7x^5+6)