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Popular >

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

Solution

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

Solution

y = \frac{1}{1 - e ^{x + c_{1}}}

Solution steps

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

Solve separable ODE:

y = \frac{1}{1 - e ^{x + c_{1}}}

y = \frac{1}{1 - e ^{x + c_{1}}}

Graph

Popular Examples

integral of x*e^{1-x^2}

\int x \cdot e^{1 - x^{2}} d x

integral of ((e^x+1)^2)/(e^x)

\int \frac{( e ^{x} + 1 ) ^{2}}{e ^{x}} d x

derivative of x^{ln(x)}derivative of

x^{l n (x)}

sum from n=1 to infinity of 3/(n^2+1)

n = 1 \sum \infty \frac{3}{n ^{2} + 1}

derivative of (sqrt(1-x)/(sqrt(x)))

\frac{d}{d x} (\frac{1 - x}{x})

Frequently Asked Questions (FAQ)

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