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Popular >

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

Solution

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

Solution

y = sin (x) + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int cos (x) d x

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

y = sin (x) + c_{1}

Graph

Popular Examples

derivative of 4/x+2sec(x)

\frac{d}{d x} (\frac{4}{x} + 2 sec (x))

(2y+2t-7)dt+(4y+2t-1)dy=0,y(-1)=2

(2 y + 2 t - 7) d t + (4 y + 2 t - 1) d y = 0, y (- 1) = 2

(\partial)/(\partial y)(x^{6y})

\frac{\partial}{\partial y} (x^{6 y})

derivative of f(x)=sqrt(2x-3)derivative of

f (x) = 2 x - 3

derivative of f(x)=(1+3x^4)^2+3x^3 derivative of

f (x) = (1 + 3 x^{4})^{2} + 3 x^{3}

Frequently Asked Questions (FAQ)

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