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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^{''}-7y^'+12y=6e^t

y^{^{''}} - 7 y^{^{'}} + 12 y = 6 e^{t}

d/(dt)(x(t,y)),y=4x(t,y)

\frac{d}{d t} (x (t, y)), y = 4 x (t, y)

derivative of 1/(1-x^3)

\frac{d}{d x} (\frac{1}{1 - x ^{3}})

limit as x approaches 7 of 9

x \to 7 lim (9)

integral of 1/((1+t^2))

\int \frac{1}{( 1 + t ^{2} )} d t

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}