en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=t^2-2

Solution

\frac{d y}{d t} = t^{2} - 2

Solution

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

Solution steps

\frac{d y}{d t} = t^{2} - 2

Substitute

\frac{d y}{d t}

with

y^{'} (t)

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

If

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

then

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

y = \int t^{2} - 2 d t

\int t^{2} - 2 d t = \frac{t ^{3}}{3} - 2 t + c_{1}

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

Graph

Popular Examples

integral of e^{ln(x)}x

\int e^{l n (x)} x d x

derivative of f(x)=3x^2+5x+1 derivative of

f (x) = 3 x^{2} + 5 x + 1

derivative of y= 1/((x^2-3)(x^2+3x+3))derivative of

y = \frac{1}{( x ^{2} - 3 ) ( x ^{2} + 3 x + 3 )}

integral of 8sin^2(x)-2sin(x)-1

\int 8 sin^{2} (x) - 2 sin (x) - 1 d x

tangent of f(x)= 3/(sqrt(x)),\at x=1 tangent of

f (x) = \frac{3}{x}, at x = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=t^2-2 ?
The solution for (dy)/(dt)=t^2-2 is y=(t^3)/3-2t+c_{1}