y' = y^2 - Wolfram|Alpha

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Input

y'(x) = y(x)^2

Separable equation

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

ODE classification

first-order nonlinear ordinary differential equation

Differential equation solution

y(x) = 1/(c_1 - x)

Slope field

Slope field

Differential equation series solution about x = 0

c_1 + c_1^2 x + c_1^3 x^2 + c_1^4 x^3 + c_1^5 x^4 + c_1^6 x^5 + O(x^6)
(converges when abs(x)<1)

Plots of sample individual solution

| | | | y(0) = 1

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