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Popular >

(1-x)(dy)/(dx)=y^2

Solution

(1 - x) \frac{d y}{d x} = y^{2}

Solution

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

Solution steps

(1 - x) \frac{d y}{d x} = y^{2}

Solve separable ODE:

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

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

Popular Examples

y^'=(1-2x)/y ,y(1)=-2

y^{^{'}} = \frac{1 - 2 x}{y}, y (1) = - 2

(dy)/(dx)=3x^2y,y(0)=2

\frac{d y}{d x} = 3 x^{2} y, y (0) = 2

y^'=\sqrt[3]{y}

tan(x)sec(y)dx-tan(y)sec(x)dy=0

tan (x) sec (y) d x - tan (y) sec (x) d y = 0

(dv)/(dt)=2-0.1v

\frac{d v}{d t} = 2 - 0.1 v

Frequently Asked Questions (FAQ)

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