What is the solution for (dr)/(dt)=0.1872*r,r(0)=24 ?

The solution for (dr)/(dt)=0.1872*r,r(0)=24 is r=24e^{0.1872t}

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(dr)/(dt)=0.1872*r,r(0)=24

\frac{d r}{d t} = 0.1872 \cdot r, r (0) = 24

r = 24 e^{0.1872 t}

Solution steps

\frac{d r}{d t} = 0.1872 \cdot r

Solve separable ODE:

r = 24 e^{0.1872 t}

r = 24 e^{0.1872 t}

1 + x^{3} y^{^{'}} = x^{2} y + x^{2}

y^{^{'}} = - \frac{y}{x}, y (1) = 3

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

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

y^{^{'}} = x^{2} \cdot y^{3}

What is the solution for (dr)/(dt)=0.1872*r,r(0)=24 ?
The solution for (dr)/(dt)=0.1872*r,r(0)=24 is r=24e^{0.1872t}