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Popular >

(dy)/(dx)=sin(4x)

Solution

\frac{d y}{d x} = sin (4 x)

Solution

y = - \frac{1}{4} cos (4 x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (4 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = sin (4 x)

If

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

then

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

y = \int sin (4 x) d x

\int sin (4 x) d x = - \frac{1}{4} cos (4 x) + c_{1}

y = - \frac{1}{4} cos (4 x) + c_{1}

Popular Examples

derivative of e^{x+4}

\frac{d}{d x} (e^{x + 4})

derivative of (4x+1^2)

\frac{d}{d x} ((4 x + 1)^{2})

x(dy)/(dx)+y=e^x,y(1)=2

x \frac{d y}{d x} + y = e^{x}, y (1) = 2

integral of 9x^2sec(x^3)tan(x^3)

\int 9 x^{2} sec (x^{3}) tan (x^{3}) d x

parity sec(cos(x))parity

sec (cos (x))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=sin(4x) ?
The solution for (dy)/(dx)=sin(4x) is y=-1/4 cos(4x)+c_{1}