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Popular >

(dy)/(dx)= 1/3 x^3

Solution

\frac{d y}{d x} = \frac{1}{3} x^{3}

Solution

y = \frac{x ^{4}}{12} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{1}{3} x^{3}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{1}{3} x^{3}

If

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

then

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

y = \int \frac{1}{3} x^{3} d x

\int \frac{1}{3} x^{3} d x = \frac{x ^{4}}{12} + c_{1}

y = \frac{x ^{4}}{12} + c_{1}

Popular Examples

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= 1/3 x^3 ?
The solution for (dy)/(dx)= 1/3 x^3 is y=(x^4)/(12)+c_{1}