en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=x^3

Solution

y^{^{'}} = x^{3}

Solution

y = \frac{x ^{4}}{4} + c_{1}

Solution steps

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 ^{4}}{4} + c_{1}

y = \frac{x ^{4}}{4} + c_{1}

Popular Examples

integral from 7 to 9 of (x^2+2x-8)

\int_{7}^{9} (x^{2} + 2 x - 8) d x

(\partial)/(\partial x)(sin(8θ))

\frac{\partial}{\partial x} (sin (8 θ))

integral from 1 to infinity of e^{-9x}

\int_{1}^{\infty} e^{- 9 x} d x

integral of csc^2(y)

\int csc^{2} (y) d y

(\partial)/(\partial x)(5x^{y/z})

\frac{\partial}{\partial x} (5 x^{\frac{y}{z}})

Frequently Asked Questions (FAQ)

What is the solution for y^'=x^3 ?
The solution for y^'=x^3 is y=(x^4)/4+c_{1}