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Popular >

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

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int cos (2 x) d x

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

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

Popular Examples

y^{''}+y^'-2y=0,y(0)=-5,y^'(0)=-1

y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = - 5, y^{^{'}} (0) = - 1

integral of (2ysin(x)+e^{2z})

\int (2 y sin (x) + e^{2 z}) d y

y^{''}+12y^'+45y=0

y^{^{''}} + 12 y^{^{'}} + 45 y = 0

integral from 1 to 2 of (9x^3+4x^2-2)/x

\int_{1}^{2} \frac{9 x ^{3} + 4 x ^{2} - 2}{x} d x

integral of (sec(x))/(tan^2(x))

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

Frequently Asked Questions (FAQ)

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