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Popular >

(dy)/(dt)=2t

Solution

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

Solution

y = t^{2} + c_{1}

Solution steps

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

Substitute

\frac{d y}{d t}

with

y^{'} (t)

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

If

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

then

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

y = \int 2 t d t

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

y = t^{2} + c_{1}

Graph

Popular Examples

derivative of (e^{2x}/(x-3))

\frac{d}{d x} (\frac{e ^{2 x}}{x - 3})

(dy)/(dt)=e^{-3t},y(0)=10

\frac{d y}{d t} = e^{- 3 t}, y (0) = 10

derivative of (x-1)^2(2x+1)^4 derivative of

(x - 1)^{2} (2 x + 1)^{4}

(\partial)/(\partial x)(e^{x^2-y^2})

\frac{\partial}{\partial x} (e^{x^{2} - y^{2}})

y^{^{'}} + 2 x^{2} y = x^{2}

Frequently Asked Questions (FAQ)

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