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Popular >

x^2yy^'=ey

Solution

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

Solution

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

Solution steps

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

Isolate

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

If

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

then

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

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

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

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

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x \to 0 lim (\frac{5 - 5 sin ( x )}{x})

Frequently Asked Questions (FAQ)

What is the solution for x^2yy^'=ey ?
The solution for x^2yy^'=ey is y=-e/x+c_{1}