Engineering, 25.01.2021 21:10, NeverEndingCycle

Verify that the indicated function y=ϕ(x)y=ϕ(x) is an explicit solution of the given first-order differential
equation. By considering ϕϕ simply as a function, give its domain. Then by considering ϕϕ as a
solution of the differential equation, give at least one interval II of definition.
y′=25+y2;y=5tan5xy ′ =25+y 2 ;y=5tan5x

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Verify that the indicated function y=ϕ(x)y=ϕ(x) is an explicit solution of the given first-order di...