Calculator first order differential equation

Differential equation y'=ay^2

$$y^{\prime }\left(x\right)=a{y\left(x\right)}^2$$

The general solution of the first order differential equation is:

$y\left(x\right)=\frac{a}{k-x}$

with the constant k and the initial values x₀, y₀:

$k=\frac{a}{y_0}+x_0$

Calculator for the initial value problem: y'=ay^2 with the initial values x₀, y₀

⃢ 1:1 2:1 5:4 16:9 9:16

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Initial values

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Parameter value

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