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Popular >

x^3*y^'=x

Solution

x^{3} \cdot y^{^{'}} = x

Solution

y = - \frac{1}{x} + c_{1}

Solution steps

x^{3} \cdot y^{'} (x) = x

Isolate

y^{'} (x) : y^{'} (x) = \frac{1}{x ^{2}}

If

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

then

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

y = \int \frac{1}{x ^{2}} d x

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

y = - \frac{1}{x} + c_{1}

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Frequently Asked Questions (FAQ)

What is the solution for x^3*y^'=x ?
The solution for x^3*y^'=x is y=-1/x+c_{1}