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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of x^2+x derivative of

x^{2} + x

integral from-2 to 2 of (x^3)

\int_{- 2}^{2} (x^{3}) d x

derivative of (54/x)

\frac{d}{d x} (\frac{54}{x})

integral of (2x-5)/(x^3+4x^2+4x)

\int \frac{2 x - 5}{x ^{3} + 4 x ^{2} + 4 x} d x

integral of 1/(1/x+2)

\int \frac{1}{\frac{1}{x} + 2} d x

Frequently Asked Questions (FAQ)

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