en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dy)/(dx)=x+9

Solution

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

Solution

y = \frac{x ^{2}}{2} + 9 x + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int x + 9 d x

\int x + 9 d x = \frac{x ^{2}}{2} + 9 x + c_{1}

y = \frac{x ^{2}}{2} + 9 x + c_{1}

Graph

Popular Examples

limit as x approaches 2-of x/(x^2-4)

f(x)= 1/(x^2-9)

derivative of (sqrt(2)/2)

integral of (e^x)/(e^{2x)+3e^x+2}

integral of 5e^{5x}

Frequently Asked Questions (FAQ)

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