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Popular >

x^2(dy)/(dx)=xy+y^2

Solution

x^{2} \frac{d y}{d x} = x y + y^{2}

Solution

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

Solution steps

x^{2} \frac{d y}{d x} = x y + y^{2}

Solve Bernoulli ODE:

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

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

Popular Examples

tangent of f(x)= 3/x ,(-8,-3/8)tangent of

f (x) = \frac{3}{x}, (- 8, - \frac{3}{8})

d/(dh)((e^{ah}-1)/h)

\frac{d}{d h} (\frac{e ^{ah} - 1}{h})

limit as x approaches 4 of x|x-4|

x \to 4 lim (x ∣ x - 4 ∣)

integral of (x^2-x-8)/((2x-3)(x^2+2x+2))

\int \frac{x ^{2} - x - 8}{( 2 x - 3 ) ( x ^{2} + 2 x + 2 )} d x

integral of-7/(64+36t^2)

\int - \frac{7}{64 + 36 t ^{2}} d t

Frequently Asked Questions (FAQ)

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