H1. Say what type the following differential equation is. Solve the given initial value problem, sketch your solution, and state the maximal domain of existence. dy dx = 3(1 + y²)x²; y=0 when x = 0.

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H1. Say what type the following differential equation is. Solve the given initial value
problem, sketch your solution, and state the maximal domain of existence.
3(1+y²)x²; y=0 when x = 0.
dy
dx
=
Transcribed Image Text:H1. Say what type the following differential equation is. Solve the given initial value problem, sketch your solution, and state the maximal domain of existence. 3(1+y²)x²; y=0 when x = 0. dy dx =
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