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Popular >

(dx)/(dt)=3t^2

Solution

\frac{d x}{d t} = 3 t^{2}

Solution

x = t^{3} + c_{1}

Solution steps

\frac{d x}{d t} = 3 t^{2}

Substitute

\frac{d x}{d t}

with

x^{'} (t)

x^{^{'}} (t) = 3 t^{2}

If

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

then

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

x = \int 3 t^{2} d t

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

x = t^{3} + c_{1}

Graph

Popular Examples

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x \to 0 lim (\frac{e ^{x}}{x ^{3}})

Frequently Asked Questions (FAQ)

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