What is the solution for (dy)/(dx)-8(dy)/(dx)+16y=0 ?

The solution for (dy)/(dx)-8(dy)/(dx)+16y=0 is y=e^{(16x+c_{1})/7}

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(dy)/(dx)-8(dy)/(dx)+16y=0

\frac{d y}{d x} - 8 \frac{d y}{d x} + 16 y = 0

y = e^{\frac{16 x + c _{1}}{7}}

Solution steps

\frac{d y}{d x} - 8 \frac{d y}{d x} + 16 y = 0

Solve separable ODE:

y = e^{\frac{16 x + c _{1}}{7}}

y = e^{\frac{16 x + c _{1}}{7}}

y^{^{'}} = x (6 - y)

\frac{d y}{d x} = \frac{3 x + 3 x y ^{2}}{y x ^{2} + 2 y}

x y^{^{'}} + 4 y = 0, y (1) = \frac{3}{2}

\frac{d y}{d x} = x (y - 1) - 2 y + 2

y^{^{'}} = y \frac{7 ( t ^{2} - 1 )}{t ( t - 3 ) ( t - 4 )}, y (7) = 3

What is the solution for (dy)/(dx)-8(dy)/(dx)+16y=0 ?
The solution for (dy)/(dx)-8(dy)/(dx)+16y=0 is y=e^{(16x+c_{1})/7}