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Popular Calculus >

y^'=cos(x)

Solution

y^{^{'}} = cos (x)

Solution

y = sin (x) + c_{1}

Solution steps

y^{'} (x) = cos (x)

If

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

then

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

y = \int cos (x) d x

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

y = sin (x) + c_{1}

Graph

Popular Examples

inverse oflaplace (e^{-2s})/(s+3)

in v erse l a pl a ce \frac{e ^{- 2 s}}{s + 3}

derivative of x^2*tan(x)

\frac{d}{d x} (x^{2} \cdot tan (x))

inverse oflaplace (s+3)/(s^2+6s+13)

in v erse l a pl a ce \frac{s + 3}{s ^{2} + 6 s + 13}

integral of (3x-sin(x))

\int (3 x - sin (x)) d x

limit as x approaches 7 of (1/x-1/7)/(x-7)

x \to 7 lim (\frac{\frac{1}{x} - \frac{1}{7}}{x - 7})

Frequently Asked Questions (FAQ)

What is the solution for y^'=cos(x) ?
The solution for y^'=cos(x) is y=sin(x)+c_{1}