en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

y^{'''}=6

Solution

y^{^{'''}} = 6

Solution

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

Solution steps

y^{'''} (t) = 6

Solve

y^{'''} (t) = 6 : y^{''} (t) = 6 t + c_{1}

Solve

y^{''} (t) = 6 t + c_{1} : y^{'} (t) = 3 t^{2} + c_{1} t + c_{2}

Solve

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

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

Graph

Popular Examples

integral of sin(3pit)

\int sin (3 π t) d t

integral of 1/(5-2x)

\int \frac{1}{5 - 2 x} d x

derivative of tsin(x)

\frac{d}{d x} (t sin (x))

(\partial)/(\partial x)(x^2+y^2+xy)

\frac{\partial}{\partial x} (x^{2} + y^{2} + x y)

derivative of f(x)=2cos(2x)

d er i v a t i v e f (x) = 2 cos (2 x)

Frequently Asked Questions (FAQ)

What is the solution for y^{'''}=6 ?
The solution for y^{'''}=6 is y=t^3+(c_{1}t^2)/2+c_{2}t+c_{3}