en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3(dy)/(dx)=x^2

Solution

3 \frac{d y}{d x} = x^{2}

Solution

y = \frac{x ^{3}}{9} + c_{1}

Solution steps

3 \frac{d y}{d x} = x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

3 y^{^{'}} (x) = x^{2}

Isolate

y^{'} (x) : y^{'} (x) = \frac{x ^{2}}{3}

If

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

then

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

y = \int \frac{x ^{2}}{3} d x

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9} + c_{1}

y = \frac{x ^{3}}{9} + c_{1}

Popular Examples

integral of (x+8)/(3x^2-12)

\int \frac{x + 8}{3 x ^{2} - 12} d x

integral of (1/(x(ln(x)-1)))

\int (\frac{1}{x ( ln ( x ) - 1 )}) d x

integral of (log_{3}(x))/(3x)

\int \frac{lo g _{3} ( x )}{3 x} d x

integral of sin(4x)cos^2(2x)sin(x)

\int sin (4 x) cos^{2} (2 x) sin (x) d x

derivative of tan(3)x^2 derivative of

tan (3) x^{2}

Frequently Asked Questions (FAQ)

What is the solution for 3(dy)/(dx)=x^2 ?
The solution for 3(dy)/(dx)=x^2 is y=(x^3)/9+c_{1}