en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(x-y)(dx-dy)=0

Solution

(x - y) (d x - d y) = 0

Solution

y = x + c_{1}

Solution steps

(x - y) (d x - d y) = 0

Let

y

be the dependent variable. Divide by

d x

:

(x - y) (1 - \frac{d y}{d x}) = 0

Substitute

\frac{d y}{d x}

with

y^{'} (x)

(x - y) (1 - y^{^{'}} (x)) = 0

Isolate

y^{'} (x) : y^{'} (x) = 1

If

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

then

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

y = \int 1 d x

\int 1 d x = x + c_{1}

y = x + c_{1}

Graph

Popular Examples

limit as x approaches-3-of x

derivative of y= 4/(7x^7)

(dv)/(dt)=9.8-v/5

integral of 1/(4x^2+48x+148)

integral from 6 to 8 of (80)/((x-6)^3)

Frequently Asked Questions (FAQ)

What is the solution for (x-y)(dx-dy)=0 ?
The solution for (x-y)(dx-dy)=0 is y=x+c_{1}