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Popular >

(dy)/(dx)=sin(3x)

Solution

\frac{d y}{d x} = sin (3 x)

Solution

y = - \frac{1}{3} cos (3 x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (3 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = sin (3 x)

If

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

then

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

y = \int sin (3 x) d x

\int sin (3 x) d x = - \frac{1}{3} cos (3 x) + c_{1}

y = - \frac{1}{3} cos (3 x) + c_{1}

Popular Examples

sum from k=1 to infinity of k/(2k+1)

k = 1 \sum \infty \frac{k}{2 k + 1}

y^{''}+y^'-72y=0

y^{^{''}} + y^{^{'}} - 72 y = 0

limit as x approaches 2-of (2x)/(x-1)

x \to 2 - lim (\frac{2 x}{x - 1})

(\partial)/(\partial x)(2sin(x))

\frac{\partial}{\partial x} (2 sin (x))

(dy)/(dx)=e^{3x}+8y

\frac{d y}{d x} = e^{3 x} + 8 y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=sin(3x) ?
The solution for (dy)/(dx)=sin(3x) is y=-1/3 cos(3x)+c_{1}