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Popular >

(xdy)/(dx)=y^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

2((dq)/(dt))+6q=2

2 (\frac{d q}{d t}) + 6 q = 2

(2x)/(a^2)+(2y\frac{dy)/(dx)}{b^2}=0

\frac{2 x}{a ^{2}} + \frac{2 y \frac{d y}{d x}}{b ^{2}} = 0

(dy)/(dx)=-(2x)/(3y)

\frac{d y}{d x} = - \frac{2 x}{3 y}

(dy)/(dx)=(sin(x))/(3y)

\frac{d y}{d x} = \frac{sin ( x )}{3 y}

x^{^{'}} - 5 x = 0

Frequently Asked Questions (FAQ)

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