en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}=e^{3t}

Solution

y^{^{''}} = e^{3 t}

Solution

y = \frac{1}{9} e^{3 t} + c_{1} t + c_{2}

Solution steps

y^{''} (t) = e^{3 t}

Solve

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

Solve

y^{'} (t) = \frac{1}{3} e^{3 t} + c_{1} : y = \frac{1}{9} e^{3 t} + c_{1} t + c_{2}

y = \frac{1}{9} e^{3 t} + c_{1} t + c_{2}

Popular Examples

integral from 0 to 4 of x^3e^x

\int_{0}^{4} x^{3} e^{x} d x

area sqrt(x),2x-12,0,8 area

x, 2 x - 12, 0, 8

derivative of 1/8 x

\frac{d}{d x} (\frac{1}{8} x)

integral of ((1-x))/(sqrt(1-x^2))

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

limit as x approaches infinity of x/(-1)

x \to \infty lim (\frac{x}{- 1})

Frequently Asked Questions (FAQ)

What is the solution for y^{''}=e^{3t} ?
The solution for y^{''}=e^{3t} is y= 1/9 e^{3t}+c_{1}t+c_{2}