What is the solution for (dy)/(dx)=xsqrt(x-9) ?

The solution for (dy)/(dx)=xsqrt(x-9) is y= 2/5 (x-9)^{5/2}+6(x-9)^{3/2}+c_{1}

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(dy)/(dx)=xsqrt(x-9)

\frac{d y}{d x} = x x - 9

y = \frac{2}{5} (x - 9)^{\frac{5}{2}} + 6 (x - 9)^{\frac{3}{2}} + c_{1}

Solution steps

\frac{d y}{d x} = x x - 9

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x x - 9

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

then

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

y = \int x x - 9 d x

\int x x - 9 d x = \frac{2}{5} (x - 9)^{\frac{5}{2}} + 6 (x - 9)^{\frac{3}{2}} + c_{1}

y = \frac{2}{5} (x - 9)^{\frac{5}{2}} + 6 (x - 9)^{\frac{3}{2}} + c_{1}

y = 3 - x, y = - 3 - x, y = x - 1

x \to 1 lim (4 x^{2} - 7 x + 5)

\int e^{x} cos (5 x) d x

- 60 = \frac{d ^{2} y}{d x ^{2}}

f (x) = 4 e^{0.5 x}

What is the solution for (dy)/(dx)=xsqrt(x-9) ?
The solution for (dy)/(dx)=xsqrt(x-9) is y= 2/5 (x-9)^{5/2}+6(x-9)^{3/2}+c_{1}