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Popular Calculus >

(dy)/(dx)=sin(2x)

Solution

\frac{d y}{d x} = sin (2 x)

Solution

y = - \frac{1}{2} cos (2 x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (2 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = sin (2 x)

If

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

then

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

y = \int sin (2 x) d x

\int sin (2 x) d x = - \frac{1}{2} cos (2 x) + c_{1}

y = - \frac{1}{2} cos (2 x) + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=sin(2x) ?
The solution for (dy)/(dx)=sin(2x) is y=-1/2 cos(2x)+c_{1}