What is the solution for y^'=(t^2+ty+y^2)/(t^2) ?

The solution for y^'=(t^2+ty+y^2)/(t^2) is y=tan(ln(t)+c_{1})t

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y^'=(t^2+ty+y^2)/(t^2)

y^{^{'}} = \frac{t ^{2} + t y + y ^{2}}{t ^{2}}

y = tan (ln (t) + c_{1}) t

Solution steps

y^{'} (t) = \frac{t ^{2} + t y + y ^{2}}{t ^{2}}

Solve using substitution:

y = tan (ln (t) + c_{1}) t

y = tan (ln (t) + c_{1}) t

What is the solution for y^'=(t^2+ty+y^2)/(t^2) ?
The solution for y^'=(t^2+ty+y^2)/(t^2) is y=tan(ln(t)+c_{1})t