en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}=8t^2

Solution

y^{^{''}} = 8 t^{2}

Solution

y = \frac{2 t ^{4}}{3} + c_{1} t + c_{2}

Solution steps

y^{''} (t) = 8 t^{2}

Solve

y^{''} (t) = 8 t^{2} : y^{'} (t) = \frac{8 t ^{3}}{3} + c_{1}

Solve

y^{'} (t) = \frac{8 t ^{3}}{3} + c_{1} : y = \frac{2 t ^{4}}{3} + c_{1} t + c_{2}

y = \frac{2 t ^{4}}{3} + c_{1} t + c_{2}

Popular Examples

derivative of x/(sqrt(x^3+2))

\frac{d}{d x} (\frac{x}{x ^{3} + 2})

sum from n=0 to infinity of ne^{-n/2}

n = 0 \sum \infty n e^{- \frac{n}{2}}

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

\int_{4}^{\infty} \frac{1}{x ^{2} - 1} d x

derivative of e^xcosh(x)

\frac{d}{d x} (e^{x} cosh (x))

limit as x approaches 0-of x/(8x^4+2x)

x \to 0 - lim (\frac{x}{8 x ^{4} + 2 x})

Frequently Asked Questions (FAQ)

What is the solution for y^{''}=8t^2 ?
The solution for y^{''}=8t^2 is y=(2t^4)/3+c_{1}t+c_{2}