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Popular Calculus >

(dy)/(dx)=2cos(5x)

Solution

\frac{d y}{d x} = 2 cos (5 x)

Solution

y = \frac{2}{5} sin (5 x) + c_{1}

Solution steps

\frac{d y}{d x} = 2 cos (5 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 2 cos (5 x)

If

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

then

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

y = \int 2 cos (5 x) d x

\int 2 cos (5 x) d x = \frac{2}{5} sin (5 x) + c_{1}

y = \frac{2}{5} sin (5 x) + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2cos(5x) ?
The solution for (dy)/(dx)=2cos(5x) is y= 2/5 sin(5x)+c_{1}