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Popular Calculus >

(dy)/(dx)=sin(9x)

Solution

\frac{d y}{d x} = sin (9 x)

Solution

y = - \frac{1}{9} cos (9 x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (9 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = sin (9 x)

If

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

then

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

y = \int sin (9 x) d x

\int sin (9 x) d x = - \frac{1}{9} cos (9 x) + c_{1}

y = - \frac{1}{9} cos (9 x) + c_{1}

Graph

Popular Examples

integral of 1/(x^2+2x+37)

limit as x approaches 1 of cos((pix)/3)

integral of rsqrt(4-r^2)

(dx)/(dy)=-(4y^2+10xy)/(5y^2+2x)

(d^2y)/(dx^2)-6(dy)/(dx)+9y=0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=sin(9x) ?
The solution for (dy)/(dx)=sin(9x) is y=-1/9 cos(9x)+c_{1}