What is the solution for 15.158y^'+y=0,y(0)=14.855 ?

The solution for 15.158y^'+y=0,y(0)=14.855 is y=14.855e^{-(500t)/(7579)}

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15.158y^'+y=0,y(0)=14.855

15.158 y^{^{'}} + y = 0, y (0) = 14.855

y = 14.855 e^{- \frac{500 t}{7579}}

Solution steps

15.158 y^{'} (t) + y = 0

Solve separable ODE:

y = 14.855 e^{- \frac{500 t}{7579}}

y = 14.855 e^{- \frac{500 t}{7579}}

x \frac{d y}{d x} = - y

\frac{d y}{d x} = x y^{2} e^{x}

\frac{d y}{d x} = \frac{[ ( x ^{2} ) ( y ^{2} ) ]}{5}

(3 y^{2} x^{2} + 3 x^{2}) d x + (2 x^{3} y) d y = 0

y^{^{'}} = 3.2 y - 10 y^{2}

What is the solution for 15.158y^'+y=0,y(0)=14.855 ?
The solution for 15.158y^'+y=0,y(0)=14.855 is y=14.855e^{-(500t)/(7579)}