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Popular >

(dy)/(dx)=sin(x)

Solution

\frac{d y}{d x} = sin (x)

Solution

y = - cos (x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int sin (x) d x

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

y = - cos (x) + c_{1}

Popular Examples

integral of 5x^2\sqrt[3]{x}

integral of sqrt(x)ln^2(x)

\int x ln^{2} (x) d x

area y=3(x+1),y=4(x+1),x=7 area

y = 3 (x + 1), y = 4 (x + 1), x = 7

(\partial)/(\partial x)(e^{-7y}cos(pix))

\frac{\partial}{\partial x} (e^{- 7 y} cos (π x))

derivative of arcsec(x^3)

\frac{d}{d x} (arcsec (x^{3}))

Frequently Asked Questions (FAQ)

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