What is the solution for ((t^2+1)dy)/(dt)+ty=0,y(0)=3 ?

The solution for ((t^2+1)dy)/(dt)+ty=0,y(0)=3 is y=(c_{1})/(sqrt(t^2+1))

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((t^2+1)dy)/(dt)+ty=0,y(0)=3

\frac{( t ^{2} + 1 ) d y}{d t} + t y = 0, y (0) = 3

y = \frac{c _{1}}{t ^{2} + 1}

Solution steps

\frac{( t ^{2} + 1 ) d y}{d t} + t y = 0

Solve separable ODE:

y = \frac{c _{1}}{t ^{2} + 1}

y = \frac{c _{1}}{t ^{2} + 1}

What is the solution for ((t^2+1)dy)/(dt)+ty=0,y(0)=3 ?
The solution for ((t^2+1)dy)/(dt)+ty=0,y(0)=3 is y=(c_{1})/(sqrt(t^2+1))