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Popular >

(dy)/(dx)=sin(7x)

Solution

\frac{d y}{d x} = sin (7 x)

Solution

y = - \frac{1}{7} cos (7 x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (7 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = sin (7 x)

If

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

then

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

y = \int sin (7 x) d x

\int sin (7 x) d x = - \frac{1}{7} cos (7 x) + c_{1}

y = - \frac{1}{7} cos (7 x) + c_{1}

Graph

Popular Examples

limit as x approaches 6/7 of x^4

x \to \frac{6}{7} lim (x^{4})

derivative of 3+2x^{1/3}

\frac{d}{d x} (3 + 2 x^{\frac{1}{3}})

integral of sqrt((1-x)/(1+x)) 1/(x^2)

\int \frac{1 - x}{1 + x} \frac{1}{x ^{2}} d x

derivative of (cx/(1+cx))

\frac{d}{d x} (\frac{c x}{1 + c x})

taylor φ^3cos(φ^4)taylor

φ^{3} cos (φ^{4})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=sin(7x) ?
The solution for (dy)/(dx)=sin(7x) is y=-1/7 cos(7x)+c_{1}