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Popular >

(dy)/(dt)=cos(t)

Solution

\frac{d y}{d t} = cos (t)

Solution

y = sin (t) + c_{1}

Solution steps

\frac{d y}{d t} = cos (t)

Substitute

\frac{d y}{d t}

with

y^{'} (t)

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

If

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

then

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

y = \int cos (t) d t

\int cos (t) d t = sin (t) + c_{1}

y = sin (t) + c_{1}

Popular Examples

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\frac{d}{d x} (ln (1 + ln (x)))

integral of (1/(x*(5-x)))

\int (\frac{1}{x \cdot ( 5 - x )}) d x

maclaurin (1+x)^n maclaurin

(1 + x)^{n}

integral of tan(3x)sec^2(3x)

\int tan (3 x) sec^{2} (3 x) d x

derivative of (40x^5/(e^x))

\frac{d}{d x} (\frac{40 x ^{5}}{e ^{x}})

Frequently Asked Questions (FAQ)

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