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}

Popular Examples

limit as x approaches 2 of 4x

x \to 2 lim (4 x)

integral from 1 to 4 of (1/x)^2

\int_{1}^{4} (\frac{1}{x})^{2} d x

tangent of ysqrt(x)+y^2=2x,(4,2)tangent of

y x + y^{2} = 2 x, (4, 2)

derivative of (2x^2-x-1sqrt(x))

\frac{d}{d x} ((2 x^{2} - x - 1) x)

derivative of x(4x+3)^{1/3}derivative of

x (4 x + 3)^{\frac{1}{3}}

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}