en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=x-3

Solution

\frac{d y}{d x} = x - 3

Solution

y = \frac{x ^{2}}{2} - 3 x + c_{1}

Solution steps

\frac{d y}{d x} = x - 3

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x - 3

If

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

then

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

y = \int x - 3 d x

\int x - 3 d x = \frac{x ^{2}}{2} - 3 x + c_{1}

y = \frac{x ^{2}}{2} - 3 x + c_{1}

Graph

Popular Examples

laplacetransform cos(8t+2pi)laplace transform

cos (8 t + 2 π)

integral of 7tan^3(x)sec^3(x)

\int 7 tan^{3} (x) sec^{3} (x) d x

integral of x(2x+1)^2

\int x (2 x + 1)^{2} d x

tangent of f(x)=x^2+4,(4,20)tangent of

f (x) = x^{2} + 4, (4, 20)

limit as x approaches 2-of e^{1/(x-2)}

x \to 2 - lim (e^{\frac{1}{x - 2}})

Frequently Asked Questions (FAQ)

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