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Popular >

(dy)/(dt)= 1/2 t

Solution

\frac{d y}{d t} = \frac{1}{2} t

Solution

y = \frac{t ^{2}}{4} + c_{1}

Solution steps

\frac{d y}{d t} = \frac{1}{2} t

Substitute

\frac{d y}{d t}

with

y^{'} (t)

y^{^{'}} (t) = \frac{1}{2} t

If

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

then

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

y = \int \frac{1}{2} t d t

\int \frac{1}{2} t d t = \frac{t ^{2}}{4} + c_{1}

y = \frac{t ^{2}}{4} + c_{1}

Graph

Popular Examples

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y^{^{''}} + 6 y^{^{'}} + 9 y = 12 e^{- 3 x}

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\int 50 sin (120 π) x d x

x*dy=dx,y(-1)=3

x \cdot d y = d x, y (- 1) = 3

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\frac{d}{d x} (7^{x} lo g_{7} (x))

(\partial)/(\partial x)(8x^2-7x+4)

\frac{\partial}{\partial x} (8 x^{2} - 7 x + 4)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)= 1/2 t ?
The solution for (dy)/(dt)= 1/2 t is y=(t^2)/4+c_{1}