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Popular Calculus >

(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 1/27 (2x-1^3(6-3x)+1)

\frac{d}{d x} (\frac{1}{27} (2 x - 1)^{3} (6 - 3 x) + 1)

integral from 0 to pi/4 of sin(4x)

\int_{0}^{\frac{π}{4}} sin (4 x) d x

inverse oflaplace (-3)/((s-1)^2)

in v erse l a pl a ce \frac{- 3}{( s - 1 ) ^{2}}

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)}}