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Popular >

y'=((xy+y^2))/(x^2)

Solution

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

Solution

y = \frac{x}{- ln ( x ) + c _{1}}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{x}{- ln ( x ) + c _{1}}

y = \frac{x}{- ln ( x ) + c _{1}}

Popular Examples

limit as x approaches-4 of (x^2-1)/(x+4)

x \to - 4 lim (\frac{x ^{2} - 1}{x + 4})

derivative of-2sqrt(s)derivative of

- 2 s

(\partial)/(\partial x)(e^{xyz-6})

\frac{\partial}{\partial x} (e^{x yz - 6})

derivative of (x^9/9-(x^7)/7)

\frac{d}{d x} (\frac{x ^{9}}{9} - \frac{x ^{7}}{7})

(\partial)/(\partial x)(y/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{y}{x ^{2} + y ^{2}})

Frequently Asked Questions (FAQ)

What is the solution for y'=((xy+y^2))/(x^2) ?
The solution for y'=((xy+y^2))/(x^2) is y= x/(-ln(x)+c_{1)}