What is the solution for (dy)/(dx)=-5y,y=7,x=0 ?

The solution for (dy)/(dx)=-5y,y=7,x=0 is y=7e^{-5x}

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(dy)/(dx)=-5y,y=7,x=0

\frac{d y}{d x} = - 5 y, y = 7, x = 0

y = 7 e^{- 5 x}

Solution steps

\frac{d y}{d x} = - 5 y

Solve separable ODE:

y = 7 e^{- 5 x}

y = 7 e^{- 5 x}

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

x \frac{d y}{d x} = e^{7 y + x}, x > 0

x y^{^{'}} = 1 - y

(\frac{d ^{2} x}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y)^{2} = 0

\frac{d p}{d t} = 5 p - p^{2}

What is the solution for (dy)/(dx)=-5y,y=7,x=0 ?
The solution for (dy)/(dx)=-5y,y=7,x=0 is y=7e^{-5x}