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Popular >

(dy)/(dx)=sin(5x)

Solution

\frac{d y}{d x} = sin (5 x)

Solution

y = - \frac{1}{5} cos (5 x) + c_{1}

Solution steps

\frac{d y}{d x} = sin (5 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = sin (5 x)

If

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

then

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

y = \int sin (5 x) d x

\int sin (5 x) d x = - \frac{1}{5} cos (5 x) + c_{1}

y = - \frac{1}{5} cos (5 x) + c_{1}

Popular Examples

integral of 5x-1

\int 5 x - 1 d x

(dP)/(dt)+2tP=P+8t-4

\frac{d P}{d t} + 2 tP = P + 8 t - 4

integral of-3/(x^2)

\int - \frac{3}{x ^{2}} d x

(\partial)/(\partial y)(ln(x^{10}y))

\frac{\partial}{\partial y} (ln (x^{10} y))

area 66x, 2/3 x,40-x^2 area

66 x, \frac{2}{3} x, 40 - x^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=sin(5x) ?
The solution for (dy)/(dx)=sin(5x) is y=-1/5 cos(5x)+c_{1}