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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

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\frac{\partial}{\partial x} (\frac{z}{y x})

limit as x approaches 0 of x^{tan(x)}

x \to 0 lim (x^{t a n (x)})

derivative of f(z)=sqrt((z-4)/(z+4))derivative of

f (z) = \frac{z - 4}{z + 4}

(\partial)/(\partial x)(xln(z^2+x^7))

\frac{\partial}{\partial x} (x ln (z^{2} + x^{7}))

derivative of x^4e^{-x}

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

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}