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Popular >

(dy)/(dx)=cos(3x)

Solution

\frac{d y}{d x} = cos (3 x)

Solution

y = \frac{1}{3} sin (3 x) + c_{1}

Solution steps

\frac{d y}{d x} = cos (3 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = cos (3 x)

If

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

then

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

y = \int cos (3 x) d x

\int cos (3 x) d x = \frac{1}{3} sin (3 x) + c_{1}

y = \frac{1}{3} sin (3 x) + c_{1}

Popular Examples

(\partial)/(\partial x)(2x^3y+8y^3)

\frac{\partial}{\partial x} (2 x^{3} y + 8 y^{3})

integral of 4-x^2

\int 4 - x^{2} d x

integral of 1/(tsqrt(t))

\int \frac{1}{t t} d t

integral of x/((x^2-6x+10)^2)

\int \frac{x}{( x ^{2} - 6 x + 10 ) ^{2}} d x

derivative of e^{-2ix}

\frac{d}{d x} (e^{- 2 i x})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=cos(3x) ?
The solution for (dy)/(dx)=cos(3x) is y= 1/3 sin(3x)+c_{1}