(dy/dx)^2

(dy/dx)^2

Input interpretation
((dy(x))/(dx))^2
ODE classification
first-order nonlinear ordinary differential equation
Differential equation solution
y(x) = c_1
Series expansion at x=0
y'(0)^2 + 2 x y'(0) y”(0) + x^2 (y”(0)^2 + y^(3)(0) y'(0)) + x^3 (1/3 y^(4)(0) y'(0) + y^(3)(0) y”(0)) + 1/12 x^4 (3 y^(3)(0)^2 + y^(5)(0) y'(0) + 4 y^(4)(0) y”(0)) + O(x^5)
(Taylor series)
Derivative
d/dx(y'(x)^2) = 2 y'(x) y”(x)

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