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Popular >

(xy-y^2)dx-x^2dy=0

Solution

(x y - y^{2}) d x - x^{2} d y = 0

Solution

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

Solution steps

(x y - y^{2}) d x - x^{2} d y = 0

Solve Bernoulli ODE:

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

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

Popular Examples

(\partial)/(\partial x)(-5y^2sin(xy^2))

\frac{\partial}{\partial x} (- 5 y^{2} sin (x y^{2}))

(\partial)/(\partial y)(20(y-x^2))

\frac{\partial}{\partial y} (20 (y - x^{2}))

limit as x approaches 1 of (x^2+1)/(x+5)

x \to 1 lim (\frac{x ^{2} + 1}{x + 5})

integral of ((x^3-x))/(sqrt(x))

\int \frac{( x ^{3} - x )}{x} d x

(x+y)^2dx+(2xy+x^2-6)dy=0,y(1)=1

(x + y)^{2} d x + (2 x y + x^{2} - 6) d y = 0, y (1) = 1

Frequently Asked Questions (FAQ)

What is the solution for (xy-y^2)dx-x^2dy=0 ?
The solution for (xy-y^2)dx-x^2dy=0 is y= x/(ln(x)+c_{1)}