en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dy)/(dx)= 9/x

Solution

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

Solution

y = 9 ln (x) + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{9}{x}

If

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

then

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

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

\int \frac{9}{x} d x = 9 ln (x) + c_{1}

y = 9 ln (x) + c_{1}

Graph

Popular Examples

derivative of (x^2-3x+2)/(2x+1)

inverse oflaplace (e^{-2s})/(s^2-2s+5)

(\partial)/(\partial x)((7x+3y)^5)

derivative of x^2-2y

(dy)/(dx)=7xcos^2(y)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= 9/x ?
The solution for (dy)/(dx)= 9/x is y=9ln(x)+c_{1}