(Differential Equations) Consider the differential equation xy’-x4y3+y=0 Verify that the function y = (Cx2-x4)-1/2 is a...

(Differential Equations) Consider the differential equation xy’-x⁴y³+y=0

Verify that the function y = (Cx²-x⁴)^-1/2 is a solution of the differential equation where C is an arbitrary constant.

Find the value of C such that y(-1) = 1. State the solution of the initial value problem.

State the interval of existence.

Expert Solution

Colby Messinger answered 2 years ago

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