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Popular Calculus >

(dy)/(dx)=x

Solution

\frac{d y}{d x} = x

Solution

y = \frac{x ^{2}}{2} + c_{1}

Solution steps

\frac{d y}{d x} = x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int x d x

\int x d x = \frac{x ^{2}}{2} + c_{1}

y = \frac{x ^{2}}{2} + c_{1}

Graph

Popular Examples

(\partial)/(\partial y)(e^x+cos(y))

\frac{\partial}{\partial y} (e^{x} + cos (y))

integral of 1/(xln(x)-x)

\int \frac{1}{x ln ( x ) - x} d x

(\partial)/(\partial x)(xe^y-e^z)

\frac{\partial}{\partial x} (x e^{y} - e^{z})

implicit (dy)/(dx),ye^x=y

im pl i c i t \frac{d y}{d x}, y e^{x} = y

derivative of (3x+1((x^2+4))/((6x-5)))

\frac{d}{d x} ((3 x + 1) \frac{( x ^{2} + 4 )}{( 6 x - 5 )})

Frequently Asked Questions (FAQ)

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