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Popular >

2y^2=(dy)/(dx)

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

integral from 1 to e of ((x^2-1))/x

\int_{1}^{e} \frac{( x ^{2} - 1 )}{x} d x

d/(dt)(e^{-2t})

\frac{d}{d t} (e^{- 2 t})

derivative of x^4+1/(32x^2)

\frac{d}{d x} (x^{4} + \frac{1}{32 x ^{2}})

(\partial)/(\partial x)(x^{0.5}*y^{0.5})

\frac{\partial}{\partial x} (x^{0.5} \cdot y^{0.5})

derivative of 4+3sin(x)

\frac{d}{d x} (4 + 3 sin (x))

Frequently Asked Questions (FAQ)

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