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Popular >

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

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d t}

with

y^{'} (t)

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

If

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

then

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

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

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

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

Popular Examples

(\partial)/(\partial x)(x^7y^6+4x^6y)

\frac{\partial}{\partial x} (x^{7} y^{6} + 4 x^{6} y)

integral of 8x^{1/2}

\int 8 x^{\frac{1}{2}} d x

limit as x approaches 2 of e^{1/0}

x \to 2 lim (e^{\frac{1}{0}})

tangent of y=3tan(x),\at x= pi/6 tangent of

y = 3 tan (x), at x = \frac{π}{6}

integral of 8^3sqrt(x)

\int 8^{3} x d x

Frequently Asked Questions (FAQ)

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