Find the explicit formula for the below IVP. Does the solution exist for all of t? If not, what is the largest interval where it exists? dy/dt = t3y2, y(0) = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the explicit formula for the below IVP. Does the solution exist for all of t? If not, what is the largest interval where it exists?

dy/dt = t3y2, y(0) = 2

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