Computing...

Input:

t^2 y\'(t) + 2 t y(t) = t^4 y(t)^2 + 4


Riccati's equation:

y\'(t) = t^2 y(t)^2 - (2 y(t))\/t + 4\/t^2


ODE classification:

first-order nonlinear ordinary differential equation


Differential equation solution:

y(t) = (2 tan(c_1 + 2 t))\/t^2

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