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Popular Calculus >

(dy)/(dx)=sin(6x)

Solution

\frac{d y}{d x} = sin (6 x)

Solution

y = - \frac{1}{6} cos (6 x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (6 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = sin (6 x)

If

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

then

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

y = \int sin (6 x) d x

\int sin (6 x) d x = - \frac{1}{6} cos (6 x) + c_{1}

y = - \frac{1}{6} cos (6 x) + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=sin(6x) ?
The solution for (dy)/(dx)=sin(6x) is y=-1/6 cos(6x)+c_{1}