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Popular >

dy=x^2dx

Solution

d y = x^{2} d x

Solution

y = \frac{x ^{3}}{3} + c_{1}

Solution steps

d y = x^{2} d x

Let

y

be the dependent variable. Divide by

d x

:

\frac{d y}{d x} = x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x^{2}

If

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

then

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

y = \int x^{2} d x

\int x^{2} d x = \frac{x ^{3}}{3} + c_{1}

y = \frac{x ^{3}}{3} + c_{1}

Popular Examples

derivative of (2x+5/(2x-5))

\frac{d}{d x} (\frac{2 x + 5}{2 x - 5})

(\partial)/(\partial x)(sqrt(26-x^2-y^2))

\frac{\partial}{\partial x} (26 - x^{2} - y^{2})

derivative of sec(sqrt(x^2-1))

\frac{d}{d x} (sec (x^{2} - 1))

laplacetransform (t-1)^4 laplace transform

(t - 1)^{4}

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

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

Frequently Asked Questions (FAQ)

What is the solution for dy=x^2dx ?
The solution for dy=x^2dx is y=(x^3)/3+c_{1}