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Popular Calculus >

6y^'=x^2

Solution

6 y^{^{'}} = x^{2}

Solution

y = \frac{x ^{3}}{18} + c_{1}

Solution steps

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

Isolate

y^{'} (x) : y^{'} (x) = \frac{x ^{2}}{6}

If

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

then

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

y = \int \frac{x ^{2}}{6} d x

\int \frac{x ^{2}}{6} d x = \frac{x ^{3}}{18} + c_{1}

y = \frac{x ^{3}}{18} + c_{1}

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the solution for 6y^'=x^2 ?
The solution for 6y^'=x^2 is y=(x^3)/(18)+c_{1}