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Popular >

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

Solution

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

Solution

y = \frac{x ^{2}}{- x + c _{1}}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{x ^{2}}{- x + c _{1}}

y = \frac{x ^{2}}{- x + c _{1}}

Popular Examples

limit as x approaches 2 of ((3))/(x+2)

x \to 2 lim (\frac{( 3 )}{x + 2})

(\partial)/(\partial x)(-7xy)

\frac{\partial}{\partial x} (- 7 x y)

derivative of f(x)=(cos(x))/(e^x)derivative of

f (x) = \frac{cos ( x )}{e ^{x}}

derivative of sin(6)

\frac{d}{d x} (sin (6))

integral from 1 to t of 7x^{-3}

\int_{1}^{t} 7 x^{- 3} d x

Frequently Asked Questions (FAQ)

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