What is the solution for (t^2+1)((dy)/(dt))=2y ?

The solution for (t^2+1)((dy)/(dt))=2y is y=e^{2arctan(t)+c_{1}}

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(t^2+1)((dy)/(dt))=2y

(t^{2} + 1) (\frac{d y}{d t}) = 2 y

y = e^{2 a r c t a n (t) + c_{1}}

Solution steps

(t^{2} + 1) (\frac{d y}{d t}) = 2 y

Solve separable ODE:

y = e^{2 a r c t a n (t) + c_{1}}

y = e^{2 a r c t a n (t) + c_{1}}

(x + 5)^{2}, \frac{1}{3} x + 3, - 10, - 5

\int (1 - x^{9}) d x

\int \frac{1}{- x ^{2} - 10 x - 21} d x

(x + 4) (x - 5)^{2}

\frac{s + 1}{( s + 2 ) ( s + 6 ) ^{2}}

What is the solution for (t^2+1)((dy)/(dt))=2y ?
The solution for (t^2+1)((dy)/(dt))=2y is y=e^{2arctan(t)+c_{1}}