Find explicit form of y I was solving a

Tyson Mcneil

Tyson Mcneil

Answered question

2022-04-15

Find explicit form of y
I was solving a differential equation and I get this as a result:
43lnx+c=sin(y2x21)
Is this enough as solution? Or how can show the solution in the form of y=f(x)

Answer & Explanation

Ferrito90gn

Ferrito90gn

Beginner2022-04-16Added 12 answers

From
43lnx+c=sin(y2x21)
you get that
y2x2=1+arcsin(43lnx+c)
and therefore that
y=±x1+arcsin(43lnx+c)

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