What is the solution for (dy)/(dt)=0.1y,y(0)=600,t=5 ?

The solution for (dy)/(dt)=0.1y,y(0)=600,t=5 is y=600e^{0.1t}

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(dy)/(dt)=0.1y,y(0)=600,t=5

\frac{d y}{d t} = 0.1 y, y (0) = 600, t = 5

y = 600 e^{0.1 t}

Solution steps

\frac{d y}{d t} = 0.1 y

Solve separable ODE:

y = 600 e^{0.1 t}

y = 600 e^{0.1 t}

sin (3 x) d x + 4 y cos^{2} (3 x) d y = 0

\frac{d y}{d x} = \frac{2 x}{- 8 y - 6}, y (0) = - 8

(1 + x^{2}) y^{^{'}} + 2 x y = - x

y^{^{'}} = - 2 t y

\frac{d P}{d t} = Pt, P (1) = 3

What is the solution for (dy)/(dt)=0.1y,y(0)=600,t=5 ?
The solution for (dy)/(dt)=0.1y,y(0)=600,t=5 is y=600e^{0.1t}