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Popular >

(dy)/(dx)=y^2,y(0)=1

Solution

\frac{d y}{d x} = y^{2}, y (0) = 1

Solution

y = - \frac{1}{x - 1}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{x - 1}

y = - \frac{1}{x - 1}

Graph

Popular Examples

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

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

(xdy)/(dx)-y=7x^6y

\frac{x d y}{d x} - y = 7 x^{6} y

(dy)/(dx)=(sqrt(y))/(2x+1),y(0)=4

\frac{d y}{d x} = \frac{y}{2 x + 1}, y (0) = 4

(dy)/(dt)=2k(y+2)

\frac{d y}{d t} = 2 k (y + 2)

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

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

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=y^2,y(0)=1 ?
The solution for (dy)/(dx)=y^2,y(0)=1 is y=-1/(x-1)