Help with 1st order non linear ODE

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The discussion centers on solving the first-order nonlinear ordinary differential equation (ODE) defined by the equation y = y' (1 + t^4 + y^8 + t^2y^2) with the initial condition y(0) = 0. The user attempted to separate variables but encountered difficulties, leading to a failed attempt at finding an exact solution using Maple software, which returned no results. This indicates that the equation may not be solvable through standard methods or that Maple requires specific configurations to process such nonlinear equations.

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y = y' (1+t[tex]^{4}[/tex] +y[tex]^{8}[/tex]+t[tex]^{2}[/tex]y[tex]^{2}[/tex])

y(0) = 0

I tried separating the variables, but it doesn't work.
Thanks in advance.
 
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Hm, can someone tell my why that when I tried to solve this DE with Maple to see if it had an exact solution, Maple just threw me a blank? When I tried again, it doesn't even pause but just goes straight to the next command line, as if he executed it without showing any result (and I've double and tripple-checked my symbols, no errors there)
 

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