What is the solution for (dy)/(dx)=xsqrt(x-12) ?

The solution for (dy)/(dx)=xsqrt(x-12) is y= 2/5 (x-12)^{5/2}+8(x-12)^{3/2}+c_{1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=xsqrt(x-12)

\frac{d y}{d x} = x x - 12

y = \frac{2}{5} (x - 12)^{\frac{5}{2}} + 8 (x - 12)^{\frac{3}{2}} + c_{1}

Solution steps

\frac{d y}{d x} = x x - 12

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x x - 12

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

then

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

y = \int x x - 12 d x

\int x x - 12 d x = \frac{2}{5} (x - 12)^{\frac{5}{2}} + 8 (x - 12)^{\frac{3}{2}} + c_{1}

y = \frac{2}{5} (x - 12)^{\frac{5}{2}} + 8 (x - 12)^{\frac{3}{2}} + c_{1}

\int \frac{3 x ^{3}}{5 - 9 x ^{4}} d x

\int \frac{x ^{2} + 6 x + 2}{x ^{3} + 9 x ^{2} + 6 x + 3} d x

- 3 cos (x), at x = - \frac{π}{3}

e^{2 x^{3}}

\frac{\partial}{\partial y} (4 x^{3} y^{2} - 1)

What is the solution for (dy)/(dx)=xsqrt(x-12) ?
The solution for (dy)/(dx)=xsqrt(x-12) is y= 2/5 (x-12)^{5/2}+8(x-12)^{3/2}+c_{1}