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Popular >

(dy)/(dx)=kx

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int k x d x

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

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

Popular Examples

integral of (18x^3-36x^2+4)/(x^2-2x)

\int \frac{18 x ^{3} - 36 x ^{2} + 4}{x ^{2} - 2 x} d x

maclaurin e^{8x}maclaurin

e^{8 x}

slope of (-2,-2),(-1,2)slope

(- 2, - 2), (- 1, 2)

(\partial)/(\partial x)(e^{x^2-y^2+4y})

\frac{\partial}{\partial x} (e^{x^{2} - y^{2} + 4 y})

integral from 1 to 4 of (x^2-2)

\int_{1}^{4} (x^{2} - 2) d x

Frequently Asked Questions (FAQ)

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