What is the solution for (dy)/(dx)=sin(17x) ?

The solution for (dy)/(dx)=sin(17x) is y=-1/17 cos(17x)+c_{1}

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(dy)/(dx)=sin(17x)

\frac{d y}{d x} = sin (17 x)

y = - \frac{1}{17} cos (17 x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (17 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = sin (17 x)

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

then

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

y = \int sin (17 x) d x

\int sin (17 x) d x = - \frac{1}{17} cos (17 x) + c_{1}

y = - \frac{1}{17} cos (17 x) + c_{1}

What is the solution for (dy)/(dx)=sin(17x) ?
The solution for (dy)/(dx)=sin(17x) is y=-1/17 cos(17x)+c_{1}