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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

limit as x approaches-1 of x^3-x^2-5x+3

x \to - 1 lim (x^{3} - x^{2} - 5 x + 3)

tangent of r=3+2sin(θ)tangent of

r = 3 + 2 sin (θ)

tangent of y=xsqrt(x)tangent of

y = x x

tangent of f(x)=-5x^2,\at a=4 tangent of

f (x) = - 5 x^{2}, at a = 4

y^{''}-(2/x)y^'-(7/(x^2))y=0

y^{^{''}} - (\frac{2}{x}) y^{^{'}} - (\frac{7}{x ^{2}}) y = 0

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)}