en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+2x^2=0

Solution

\frac{d y}{d x} + 2 x^{2} = 0

Solution

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

Solution steps

\frac{d y}{d x} + 2 x^{2} = 0

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) + 2 x^{2} = 0

Isolate

y^{'} (x) : y^{'} (x) = - 2 x^{2}

If

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

then

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

y = \int - 2 x^{2} d x

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

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

Popular Examples

integral of (e^x)/(e^x+6)

\int \frac{e ^{x}}{e ^{x} + 6} d x

derivative of xe^{-1/x}derivative of

x e^{- \frac{1}{x}}

x(e^{y/x}-1)(dy)/(dx)=e^{y/x}(y-x)

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

derivative of (e^x/(7x^3))

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{3}})

integral of (sin(x))/(cos(x)-cos^2(x))

\int \frac{sin ( x )}{cos ( x ) - cos ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+2x^2=0 ?
The solution for (dy)/(dx)+2x^2=0 is y=-(2x^3)/3+c_{1}